102353640 has 64 divisors (see below), whose sum is σ = 308093760. Its totient is φ = 27202560.

The previous prime is 102353633. The next prime is 102353663. The reversal of 102353640 is 46353201.

It is a happy number.

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 102353640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39175 + ... + 41705.

It is an arithmetic number, because the mean of its divisors is an integer number (4813965).

Almost surely, 2^102353640 is an apocalyptic number.

102353640 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 102353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154046880).

102353640 is an abundant number, since it is smaller than the sum of its proper divisors (205740120).

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

102353640 is a wasteful number, since it uses less digits than its factorization.

102353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 102353640 is about 10116.9975783332. The cubic root of 102353640 is about 467.7722246116.

The spelling of 102353640 in words is "one hundred two million, three hundred fifty-three thousand, six hundred forty".