102971988 has 72 divisors (see below), whose sum is σ = 298509120. Its totient is φ = 29318400.

The previous prime is 102971983. The next prime is 102972007. The reversal of 102971988 is 889179201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102971983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100543 + ... + 101561.

It is an arithmetic number, because the mean of its divisors is an integer number (4145960).

Almost surely, 2^102971988 is an apocalyptic number.

102971988 is a gapful number since it is divisible by the number (18) 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 102971988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149254560).

102971988 is an abundant number, since it is smaller than the sum of its proper divisors (195537132).

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

102971988 is a wasteful number, since it uses less digits than its factorization.

102971988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 102971988 is about 10147.5114190623. The cubic root of 102971988 is about 468.7123165440.

The spelling of 102971988 in words is "one hundred two million, nine hundred seventy-one thousand, nine hundred eighty-eight".