103011332400 has 90 divisors (see below), whose sum is σ = 357477950180. Its totient is φ = 27469687680.

The previous prime is 103011332371. The next prime is 103011332407. The reversal of 103011332400 is 4233110301.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×103011332400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103011332407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14303530 + ... + 14310729.

Almost surely, 2^103011332400 is an apocalyptic number.

103011332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011332400 is an abundant number, since it is smaller than the sum of its proper divisors (254466617780).

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

103011332400 is a wasteful number, since it uses less digits than its factorization.

103011332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614283 (or 28614269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103011332400 its reverse (4233110301), we get a palindrome (107244442701).

The spelling of 103011332400 in words is "one hundred three billion, eleven million, three hundred thirty-two thousand, four hundred".