102972870 has 320 divisors, whose sum is σ = 374685696. Its totient is φ = 19595520.

The previous prime is 102972847. The next prime is 102972889. The reversal of 102972870 is 78279201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 810747 + ... + 810873.

Almost surely, 2^102972870 is an apocalyptic number.

102972870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102972870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342848).

102972870 is an abundant number, since it is smaller than the sum of its proper divisors (271712826).

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

102972870 is a wasteful number, since it uses less digits than its factorization.

102972870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 102972870 is about 10147.5548779004. The cubic root of 102972870 is about 468.7136547820.

The spelling of 102972870 in words is "one hundred two million, nine hundred seventy-two thousand, eight hundred seventy".