103202000400 has 60 divisors (see below), whose sum is σ = 330590411792. Its totient is φ = 27520533120.

The previous prime is 103202000381. The next prime is 103202000423. The reversal of 103202000400 is 4000202301.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 42999634 + ... + 43002033.

Almost surely, 2^103202000400 is an apocalyptic number.

103202000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103202000400 is an abundant number, since it is smaller than the sum of its proper divisors (227388411392).

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

103202000400 is a wasteful number, since it uses less digits than its factorization.

103202000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86001688 (or 86001677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 103202000400 its reverse (4000202301), we get a palindrome (107202202701).

The spelling of 103202000400 in words is "one hundred three billion, two hundred two million, four hundred", and thus it is an aban number.