102892000 has 96 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 39692800.

The previous prime is 102891989. The next prime is 102892003. The reversal of 102892000 is 298201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102892003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115557 + ... + 116443.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2^102892000 is an apocalyptic number.

102892000 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 102892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

102892000 is an abundant number, since it is smaller than the sum of its proper divisors (158925920).

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

102892000 is an equidigital number, since it uses as much as digits as its factorization.

102892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102892000 is about 10143.5693914913. The cubic root of 102892000 is about 468.5909208344.

The spelling of 102892000 in words is "one hundred two million, eight hundred ninety-two thousand".