102001400 has 24 divisors (see below), whose sum is σ = 237153720. Its totient is φ = 40800480.

The previous prime is 102001391. The next prime is 102001433. The reversal of 102001400 is 4100201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 254804 + ... + 255203.

It is an arithmetic number, because the mean of its divisors is an integer number (9881405).

Almost surely, 2^102001400 is an apocalyptic number.

102001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001400 is an abundant number, since it is smaller than the sum of its proper divisors (135152320).

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

102001400 is a wasteful number, since it uses less digits than its factorization.

102001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510023 (or 510014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102001400 is about 10099.5742484523. The cubic root of 102001400 is about 467.2350104925.

Adding to 102001400 its reverse (4100201), we get a palindrome (106101601).

The spelling of 102001400 in words is "one hundred two million, one thousand, four hundred".