103107874060800 has 2400 divisors, whose sum is σ = 463568610460032. Its totient is φ = 22095326085120.

The previous prime is 103107874060787. The next prime is 103107874060811. The reversal of 103107874060800 is 8060478701301.

103107874060800 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 7 + 8 + 7 + 4 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34916312124 + ... + 34916315076.

Almost surely, 2^{103107874060800} is an apocalyptic number.

103107874060800 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 103107874060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231784305230016).

103107874060800 is an abundant number, since it is smaller than the sum of its proper divisors (360460736399232).

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

103107874060800 is a wasteful number, since it uses less digits than its factorization.

103107874060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 103107874060800 in words is "one hundred three trillion, one hundred seven billion, eight hundred seventy-four million, sixty thousand, eight hundred".