102640160 has 96 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 34836480.

The previous prime is 102640157. The next prime is 102640201. The reversal of 102640160 is 61046201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 126155 + ... + 126965.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^102640160 is an apocalyptic number.

102640160 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 102640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

102640160 is an abundant number, since it is smaller than the sum of its proper divisors (177285472).

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

102640160 is a wasteful number, since it uses less digits than its factorization.

102640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102640160 is about 10131.1480099740. The cubic root of 102640160 is about 468.2082984420.

Adding to 102640160 its reverse (61046201), we get a palindrome (163686361).

The spelling of 102640160 in words is "one hundred two million, six hundred forty thousand, one hundred sixty".