103621186368 has 168 divisors, whose sum is σ = 359409016512. Its totient is φ = 27864502272.

The previous prime is 103621186327. The next prime is 103621186381. The reversal of 103621186368 is 863681126301.

103621186368 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 1 + 1 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×103621186368³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687330 + ... + 824417.

It is an arithmetic number, because the mean of its divisors is an integer number (2139339384).

Almost surely, 2^103621186368 is an apocalyptic number.

103621186368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103621186368 is an abundant number, since it is smaller than the sum of its proper divisors (255787830144).

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

103621186368 is a wasteful number, since it uses less digits than its factorization.

103621186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511789 (or 1511776 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103621186368 in words is "one hundred three billion, six hundred twenty-one million, one hundred eighty-six thousand, three hundred sixty-eight".