102875700 has 72 divisors (see below), whose sum is σ = 298890592. Its totient is φ = 27319680.

The previous prime is 102875659. The next prime is 102875749. The reversal of 102875700 is 7578201.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 91542 + ... + 92658.

Almost surely, 2^102875700 is an apocalyptic number.

102875700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102875700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149445296).

102875700 is an abundant number, since it is smaller than the sum of its proper divisors (196014892).

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

102875700 is a wasteful number, since it uses less digits than its factorization.

102875700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 102875700 is about 10142.7658949618. The cubic root of 102875700 is about 468.5661750317.

The spelling of 102875700 in words is "one hundred two million, eight hundred seventy-five thousand, seven hundred".