102957000 has 64 divisors (see below), whose sum is σ = 321235200. Its totient is φ = 27454400.

The previous prime is 102956999. The next prime is 102957031. The reversal of 102957000 is 759201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14160 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (5019300).

Almost surely, 2^102957000 is an apocalyptic number.

102957000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102957000 is an abundant number, since it is smaller than the sum of its proper divisors (218278200).

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

102957000 is a wasteful number, since it uses less digits than its factorization.

102957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34343 (or 34329 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 102957000 is about 10146.7728859968. The cubic root of 102957000 is about 468.6895744332.

The spelling of 102957000 in words is "one hundred two million, nine hundred fifty-seven thousand".