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106300550136 = 23311797576733
BaseRepresentation
bin110001100000000000…
…0011010101111111000
3101011101021020110012110
41203000000122233320
53220200420101021
6120500033412320
710452140524224
oct1430000325770
9334337213173
10106300550136
1141099986730
1218727a0a0a0
13a040c39811
145205b47784
152b7243e476
hex18c001abf8

106300550136 has 128 divisors (see below), whose sum is σ = 294011827200. Its totient is φ = 31757806080.

The previous prime is 106300550071. The next prime is 106300550201. The reversal of 106300550136 is 631055003601.

It is an interprime number because it is at equal distance from previous prime (106300550071) and next prime (106300550201).

It is a super-2 number, since 2×1063005501362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15784626 + ... + 15791358.

It is an arithmetic number, because the mean of its divisors is an integer number (2296967400).

Almost surely, 2106300550136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106300550136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147005913600).

106300550136 is an abundant number, since it is smaller than the sum of its proper divisors (187711277064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106300550136 is a wasteful number, since it uses less digits than its factorization.

106300550136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 106300550136 its reverse (631055003601), we get a palindrome (737355553737).

The spelling of 106300550136 in words is "one hundred six billion, three hundred million, five hundred fifty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 757 869 948 1514 1738 1896 2271 2607 3028 3476 4542 5214 6056 6733 6952 8327 9084 10428 13466 16654 18168 20199 20856 24981 26932 33308 40398 49962 53864 59803 66616 74063 80796 99924 119606 148126 161592 179409 199848 222189 239212 296252 358818 444378 478424 531907 592504 657833 717636 888756 1063814 1315666 1435272 1595721 1777512 1973499 2127628 2631332 3191442 3946998 4255256 5096881 5262664 5850977 6382884 7893996 10193762 11701954 12765768 15290643 15787992 17552931 20387524 23403908 30581286 35105862 40775048 46807816 56065691 61162572 70211724 112131382 122325144 140423448 168197073 224262764 336394146 402653599 448525528 672788292 805307198 1207960797 1345576584 1610614396 2415921594 3221228792 4429189589 4831843188 8858379178 9663686376 13287568767 17716758356 26575137534 35433516712 53150275068 106300550136