102971400 has 96 divisors (see below), whose sum is σ = 364827840. Its totient is φ = 23535360.

The previous prime is 102971389. The next prime is 102971411. The reversal of 102971400 is 4179201.

It is an interprime number because it is at equal distance from previous prime (102971389) and next prime (102971411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8059 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (3800290).

Almost surely, 2^102971400 is an apocalyptic number.

102971400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102971400 is an abundant number, since it is smaller than the sum of its proper divisors (261856440).

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

102971400 is a wasteful number, since it uses less digits than its factorization.

102971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24543 (or 24534 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 102971400 is about 10147.4824464002. The cubic root of 102971400 is about 468.7114243811.

The spelling of 102971400 in words is "one hundred two million, nine hundred seventy-one thousand, four hundred".