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106625363232 = 2531811613297
BaseRepresentation
bin110001101001101011…
…1011110110100100000
3101012012220102200000010
41203103113132310200
53221332043110412
6120552155324520
710463163430203
oct1432327366440
9335186380003
10106625363232
1141246268603
12187b8750740
13a09331470b
145236d3993a
152b90c0033c
hex18d35ded20

106625363232 has 48 divisors (see below), whose sum is σ = 280046585952. Its totient is φ = 35522104320.

The previous prime is 106625363219. The next prime is 106625363233. The reversal of 106625363232 is 232363526601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1066253632322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106625363233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132793 + ... + 480504.

It is an arithmetic number, because the mean of its divisors is an integer number (5834303874).

Almost surely, 2106625363232 is an apocalyptic number.

106625363232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106625363232 is an abundant number, since it is smaller than the sum of its proper divisors (173421222720).

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

106625363232 is a wasteful number, since it uses less digits than its factorization.

106625363232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615121 (or 615113 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

Adding to 106625363232 its reverse (232363526601), we get a palindrome (338988889833).

The spelling of 106625363232 in words is "one hundred six billion, six hundred twenty-five million, three hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1811 3622 5433 7244 10866 14488 21732 28976 43464 57952 86928 173856 613297 1226594 1839891 2453188 3679782 4906376 7359564 9812752 14719128 19625504 29438256 58876512 1110680867 2221361734 3332042601 4442723468 6664085202 8885446936 13328170404 17770893872 26656340808 35541787744 53312681616 106625363232