102361140 has 72 divisors (see below), whose sum is σ = 354856320. Its totient is φ = 23396544.

The previous prime is 102361139. The next prime is 102361153. The reversal of 102361140 is 41163201.

It is a happy number.

102361140 is a `hidden beast` number, since 10 + 2 + 3 + 611 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39360 + ... + 41879.

It is an arithmetic number, because the mean of its divisors is an integer number (4928560).

Almost surely, 2^102361140 is an apocalyptic number.

102361140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102361140 is an abundant number, since it is smaller than the sum of its proper divisors (252495180).

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

102361140 is a wasteful number, since it uses less digits than its factorization.

102361140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81261 (or 81256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102361140 is about 10117.3682348721. The cubic root of 102361140 is about 467.7836497256.

The spelling of 102361140 in words is "one hundred two million, three hundred sixty-one thousand, one hundred forty".