102131520 has 112 divisors (see below), whose sum is σ = 326550528. Its totient is φ = 27043840.

The previous prime is 102131443. The next prime is 102131521. The reversal of 102131520 is 25131201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102131520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183082 + ... + 183638.

Almost surely, 2^102131520 is an apocalyptic number.

102131520 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 102131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

102131520 is an abundant number, since it is smaller than the sum of its proper divisors (224419008).

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

102131520 is a wasteful number, since it uses less digits than its factorization.

102131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102131520 is about 10106.0140510490. The cubic root of 102131520 is about 467.4336051057.

Adding to 102131520 its reverse (25131201), we get a palindrome (127262721).

The spelling of 102131520 in words is "one hundred two million, one hundred thirty-one thousand, five hundred twenty".