102892040 has 64 divisors (see below), whose sum is σ = 237202560. Its totient is φ = 40158720.

The previous prime is 102892039. The next prime is 102892043. The reversal of 102892040 is 40298201.

It is not an unprimeable number, because it can be changed into a prime (102892043) 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, 487535 + ... + 487745.

It is an arithmetic number, because the mean of its divisors is an integer number (3706290).

Almost surely, 2^102892040 is an apocalyptic number.

102892040 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 102892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118601280).

102892040 is an abundant number, since it is smaller than the sum of its proper divisors (134310520).

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

102892040 is a wasteful number, since it uses less digits than its factorization.

102892040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 102892040 is about 10143.5713631837. The cubic root of 102892040 is about 468.5909815571.

The spelling of 102892040 in words is "one hundred two million, eight hundred ninety-two thousand, forty".