103801856400 has 600 divisors, whose sum is σ = 427821055200. Its totient is φ = 23838105600.

The previous prime is 103801856399. The next prime is 103801856443. The reversal of 103801856400 is 4658108301.

103801856400 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 1 + 8 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6763936 + ... + 6779264.

It is an arithmetic number, because the mean of its divisors is an integer number (713035092).

Almost surely, 2^103801856400 is an apocalyptic number.

103801856400 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 103801856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213910527600).

103801856400 is an abundant number, since it is smaller than the sum of its proper divisors (324019198800).

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

103801856400 is a wasteful number, since it uses less digits than its factorization.

103801856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 103801856400 in words is "one hundred three billion, eight hundred one million, eight hundred fifty-six thousand, four hundred".