102540900 has 288 divisors, whose sum is σ = 387975168. Its totient is φ = 20275200.

The previous prime is 102540883. The next prime is 102540937. The reversal of 102540900 is 9045201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531204 + ... + 531396.

It is an arithmetic number, because the mean of its divisors is an integer number (1347136).

Almost surely, 2^102540900 is an apocalyptic number.

102540900 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 102540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193987584).

102540900 is an abundant number, since it is smaller than the sum of its proper divisors (285434268).

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

102540900 is a wasteful number, since it uses less digits than its factorization.

102540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 102540900 is about 10126.2480712256. The cubic root of 102540900 is about 468.0573200301.

The spelling of 102540900 in words is "one hundred two million, five hundred forty thousand, nine hundred".