103403152800 has 576 divisors, whose sum is σ = 416842070400. Its totient is φ = 24584601600.

The previous prime is 103403152751. The next prime is 103403152829. The reversal of 103403152800 is 8251304301.

It is a happy number.

103403152800 is a `hidden beast` number, since 1 + 0 + 340 + 315 + 2 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6969390 + ... + 6984210.

It is an arithmetic number, because the mean of its divisors is an integer number (723684150).

Almost surely, 2^103403152800 is an apocalyptic number.

103403152800 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 103403152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208421035200).

103403152800 is an abundant number, since it is smaller than the sum of its proper divisors (313438917600).

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

103403152800 is a wasteful number, since it uses less digits than its factorization.

103403152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 103403152800 in words is "one hundred three billion, four hundred three million, one hundred fifty-two thousand, eight hundred".