102715938 has 160 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 27993600.

The previous prime is 102715901. The next prime is 102715939. The reversal of 102715938 is 839517201.

It is not an unprimeable number, because it can be changed into a prime (102715939) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 680163 + ... + 680313.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^102715938 is an apocalyptic number.

102715938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102715938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

102715938 is an abundant number, since it is smaller than the sum of its proper divisors (175371102).

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

102715938 is a wasteful number, since it uses less digits than its factorization.

102715938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 102715938 is about 10134.8871725343. The cubic root of 102715938 is about 468.3234942892.

The spelling of 102715938 in words is "one hundred two million, seven hundred fifteen thousand, nine hundred thirty-eight".