103874918400 has 1512 divisors, whose sum is σ = 442892824920. Its totient is φ = 24086937600.

The previous prime is 103874918363. The next prime is 103874918429. The reversal of 103874918400 is 4819478301.

It is a happy number.

103874918400 is a `hidden beast` number, since 1 + 0 + 3 + 87 + 491 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4516300789 + ... + 4516300811.

It is an arithmetic number, because the mean of its divisors is an integer number (292918535).

Almost surely, 2^103874918400 is an apocalyptic number.

103874918400 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 103874918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221446412460).

103874918400 is an abundant number, since it is smaller than the sum of its proper divisors (339017906520).

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

103874918400 is an equidigital number, since it uses as much as digits as its factorization.

103874918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 103874918400 in words is "one hundred three billion, eight hundred seventy-four million, nine hundred eighteen thousand, four hundred".