103107536400 has 360 divisors, whose sum is σ = 384408333792. Its totient is φ = 23524864000.

The previous prime is 103107536353. The next prime is 103107536423. The reversal of 103107536400 is 4635701301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2447515 + ... + 2489285.

Almost surely, 2^103107536400 is an apocalyptic number.

103107536400 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 103107536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192204166896).

103107536400 is an abundant number, since it is smaller than the sum of its proper divisors (281300797392).

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

103107536400 is a wasteful number, since it uses less digits than its factorization.

103107536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41831 (or 41809 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

It can be divided in two parts, 10310753 and 6400, that added together give a triangular number (10317153 = T₄₅₄₂).

The spelling of 103107536400 in words is "one hundred three billion, one hundred seven million, five hundred thirty-six thousand, four hundred".