102352640 has 72 divisors (see below), whose sum is σ = 264068448. Its totient is φ = 37785600.

The previous prime is 102352633. The next prime is 102352667. The reversal of 102352640 is 46253201.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13565 + ... + 19715.

Almost surely, 2^102352640 is an apocalyptic number.

102352640 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 102352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132034224).

102352640 is an abundant number, since it is smaller than the sum of its proper divisors (161715808).

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

102352640 is an equidigital number, since it uses as much as digits as its factorization.

102352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 102352640 is about 10116.9481564353. The cubic root of 102352640 is about 467.7707012209.

The spelling of 102352640 in words is "one hundred two million, three hundred fifty-two thousand, six hundred forty".