102636240 has 160 divisors (see below), whose sum is σ = 366643200. Its totient is φ = 23265792.

The previous prime is 102636239. The next prime is 102636263. The reversal of 102636240 is 42636201.

It is a super-2 number, since 2×102636240² = 21068395522675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102636240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334167 + ... + 334473.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^102636240 is an apocalyptic number.

102636240 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 102636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321600).

102636240 is an abundant number, since it is smaller than the sum of its proper divisors (264006960).

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

102636240 is a wasteful number, since it uses less digits than its factorization.

102636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 102636240 is about 10130.9545453526. The cubic root of 102636240 is about 468.2023378125.

The spelling of 102636240 in words is "one hundred two million, six hundred thirty-six thousand, two hundred forty".