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106621312350 = 23527214506301
BaseRepresentation
bin110001101001100100…
…0000001110101011110
3101012012121210212020110
41203103020001311132
53221330023443400
6120551532430450
710463114126100
oct1432310016536
9335177725213
10106621312350
1141243a51073
12187b7318426
13a092526947
1452365a3570
152b9069ee50
hex18d3201d5e

106621312350 has 72 divisors (see below), whose sum is σ = 307591627608. Its totient is φ = 24370584000.

The previous prime is 106621312337. The next prime is 106621312397. The reversal of 106621312350 is 53213126601.

It is a super-2 number, since 2×1066213123502 (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 35 ways as a sum of consecutive naturals, for example, 7245801 + ... + 7260500.

It is an arithmetic number, because the mean of its divisors is an integer number (4272105939).

Almost surely, 2106621312350 is an apocalyptic number.

106621312350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106621312350 is an abundant number, since it is smaller than the sum of its proper divisors (200970315258).

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

106621312350 is a wasteful number, since it uses less digits than its factorization.

106621312350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506330 (or 14506318 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 106621312350 its reverse (53213126601), we get a palindrome (159834438951).

The spelling of 106621312350 in words is "one hundred six billion, six hundred twenty-one million, three hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 14506301 29012602 43518903 72531505 87037806 101544107 145063010 203088214 217594515 304632321 362657525 435189030 507720535 609264642 710808749 725315050 1015441070 1087972575 1421617498 1523161605 2132426247 2175945150 2538602675 3046323210 3554043745 4264852494 5077205350 7108087490 7615808025 10662131235 15231616050 17770218725 21324262470 35540437450 53310656175 106621312350