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106507115220 = 223511237016279
BaseRepresentation
bin110001100110001010…
…0011001101011010100
3101011220122221001020010
41203030110121223110
53221111310141340
6120532333040220
710460226353622
oct1431424315324
9334818831203
10106507115220
1141195543080
1218785026070
13a07498208c
145225358512
152b85643b80
hex18cc519ad4

106507115220 has 96 divisors (see below), whose sum is σ = 339475691520. Its totient is φ = 24697298560.

The previous prime is 106507115213. The next prime is 106507115257. The reversal of 106507115220 is 22511705601.

It is a super-2 number, since 2×1065071152202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3492960 + ... + 3523319.

It is an arithmetic number, because the mean of its divisors is an integer number (3536205120).

Almost surely, 2106507115220 is an apocalyptic number.

106507115220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106507115220 is an abundant number, since it is smaller than the sum of its proper divisors (232968576300).

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

106507115220 is a wasteful number, since it uses less digits than its factorization.

106507115220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016325 (or 7016323 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 106507115220 in words is "one hundred six billion, five hundred seven million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 7016279 14032558 21048837 28065116 35081395 42097674 70162790 77179069 84195348 105244185 140325580 154358138 161374417 210488370 231537207 308716276 322748834 385895345 420976740 463074414 484123251 645497668 771790690 806872085 926148828 968246502 1157686035 1543581380 1613744170 1775118587 1936493004 2315372070 2420616255 3227488340 3550237174 4630744140 4841232510 5325355761 7100474348 8875592935 9682465020 10650711522 17751185870 21301423044 26626778805 35502371740 53253557610 106507115220