102122320 has 20 divisors (see below), whose sum is σ = 237434580. Its totient is φ = 40848896.

The previous prime is 102122303. The next prime is 102122341. The reversal of 102122320 is 23221201.

It can be written as a sum of positive squares in 2 ways, for example, as 75620416 + 26501904 = 8696^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 102122320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638185 + ... + 638344.

It is an arithmetic number, because the mean of its divisors is an integer number (11871729).

Almost surely, 2^102122320 is an apocalyptic number.

102122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122320 is an abundant number, since it is smaller than the sum of its proper divisors (135312260).

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

102122320 is a wasteful number, since it uses less digits than its factorization.

102122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276542 (or 1276536 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102122320 is about 10105.5588662874. The cubic root of 102122320 is about 467.4195692224.

Adding to 102122320 its reverse (23221201), we get a palindrome (125343521).

The spelling of 102122320 in words is "one hundred two million, one hundred twenty-two thousand, three hundred twenty".