103221518400 has 3024 divisors, whose sum is σ = 534847434240. Its totient is φ = 19160064000.

The previous prime is 103221518341. The next prime is 103221518537. The reversal of 103221518400 is 4815122301.

103221518400 is a `hidden beast` number, since 1 + 0 + 32 + 215 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3329726385 + ... + 3329726415.

Almost surely, 2^103221518400 is an apocalyptic number.

103221518400 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 103221518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267423717120).

103221518400 is an abundant number, since it is smaller than the sum of its proper divisors (431625915840).

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

103221518400 is a wasteful number, since it uses less digits than its factorization.

103221518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 103221518400 in words is "one hundred three billion, two hundred twenty-one million, five hundred eighteen thousand, four hundred".