103900672512000 has 8736 divisors, whose sum is σ = 534965548965120. Its totient is φ = 19865154355200.

The previous prime is 103900672511957. The next prime is 103900672512017. The reversal of 103900672512000 is 215276009301.

103900672512000 is a `hidden beast` number, since 1 + 0 + 390 + 0 + 67 + 2 + 5 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8736).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 671 ways as a sum of consecutive naturals, for example, 4517420543989 + ... + 4517420544011.

It is an arithmetic number, because the mean of its divisors is an integer number (61236898920).

Almost surely, 2^{103900672512000} is an apocalyptic number.

103900672512000 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 103900672512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267482774482560).

103900672512000 is an abundant number, since it is smaller than the sum of its proper divisors (431064876453120).

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

103900672512000 is an equidigital number, since it uses as much as digits as its factorization.

103900672512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 103900672512000 in words is "one hundred three trillion, nine hundred billion, six hundred seventy-two million, five hundred twelve thousand".