102538872 has 80 divisors (see below), whose sum is σ = 288875400. Its totient is φ = 33981120.

The previous prime is 102538871. The next prime is 102538927. The reversal of 102538872 is 278835201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102538871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148047 + ... + 148737.

Almost surely, 2^102538872 is an apocalyptic number.

102538872 is a gapful number since it is divisible by the number (12) 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 102538872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144437700).

102538872 is an abundant number, since it is smaller than the sum of its proper divisors (186336528).

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

102538872 is a wasteful number, since it uses less digits than its factorization.

102538872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 102538872 is about 10126.1479349257. The cubic root of 102538872 is about 468.0542343460.

The spelling of 102538872 in words is "one hundred two million, five hundred thirty-eight thousand, eight hundred seventy-two".