102180936 has 128 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 27060480.

The previous prime is 102180919. The next prime is 102180937. The reversal of 102180936 is 639081201.

It is not an unprimeable number, because it can be changed into a prime (102180937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64425 + ... + 65991.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^102180936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102180936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

102180936 is an abundant number, since it is smaller than the sum of its proper divisors (213927864).

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

102180936 is a wasteful number, since it uses less digits than its factorization.

102180936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 102180936 is about 10108.4586362116. The cubic root of 102180936 is about 467.5089816876.

The spelling of 102180936 in words is "one hundred two million, one hundred eighty thousand, nine hundred thirty-six".