103692342800 has 30 divisors (see below), whose sum is σ = 249120854538. Its totient is φ = 41476936960.

The previous prime is 103692342799. The next prime is 103692342827. The reversal of 103692342800 is 8243296301.

103692342800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 103691728144 = 784^2 + 322012^2 .

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 5 ways as a sum of consecutive naturals, for example, 129615029 + ... + 129615828.

Almost surely, 2^103692342800 is an apocalyptic number.

103692342800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103692342800 is an abundant number, since it is smaller than the sum of its proper divisors (145428511738).

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

103692342800 is a wasteful number, since it uses less digits than its factorization.

103692342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259230875 (or 259230864 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 103692342800 in words is "one hundred three billion, six hundred ninety-two million, three hundred forty-two thousand, eight hundred".