102605640 has 64 divisors (see below), whose sum is σ = 308655360. Its totient is φ = 27287040.

The previous prime is 102605639. The next prime is 102605669. The reversal of 102605640 is 46506201.

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 102605640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53905 + ... + 55775.

It is an arithmetic number, because the mean of its divisors is an integer number (4822740).

Almost surely, 2^102605640 is an apocalyptic number.

102605640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102605640 is an abundant number, since it is smaller than the sum of its proper divisors (206049720).

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

102605640 is a wasteful number, since it uses less digits than its factorization.

102605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102605640 is about 10129.4442098271. Note that the first 3 decimals coincide. The cubic root of 102605640 is about 468.1558031915.

The spelling of 102605640 in words is "one hundred two million, six hundred five thousand, six hundred forty".