103556400512 has 32 divisors (see below), whose sum is σ = 211101539880. Its totient is φ = 50574053376.

The previous prime is 103556400461. The next prime is 103556400523. The reversal of 103556400512 is 215004655301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×103556400512³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 9401873 + ... + 9412880.

Almost surely, 2^103556400512 is an apocalyptic number.

It is an amenable number.

103556400512 is an abundant number, since it is smaller than the sum of its proper divisors (107545139368).

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

103556400512 is an equidigital number, since it uses as much as digits as its factorization.

103556400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18814810 (or 18814798 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 103556400512 in words is "one hundred three billion, five hundred fifty-six million, four hundred thousand, five hundred twelve".