103856256000 has 1408 divisors, whose sum is σ = 452480670720. Its totient is φ = 23290675200.

The previous prime is 103856255989. The next prime is 103856256011. The reversal of 103856256000 is 652658301.

103856256000 is a `hidden beast` number, since 1 + 0 + 38 + 5 + 62 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103856255989) and next prime (103856256011).

It is a super-2 number, since 2×103856256000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1959551974 + ... + 1959552026.

Almost surely, 2^103856256000 is an apocalyptic number.

103856256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103856256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226240335360).

103856256000 is an abundant number, since it is smaller than the sum of its proper divisors (348624414720).

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

103856256000 is an frugal number, since it uses more digits than its factorization.

103856256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 103856256000 in words is "one hundred three billion, eight hundred fifty-six million, two hundred fifty-six thousand".