102525520 has 80 divisors (see below), whose sum is σ = 257840640. Its totient is φ = 37780992.

The previous prime is 102525517. The next prime is 102525541. The reversal of 102525520 is 25525201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102525520² = 21022964502540800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102525491 and 102525500.

It is a congruent number.

It is an unprimeable number.

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, 55329 + ... + 57151.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2^102525520 is an apocalyptic number.

102525520 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 102525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128920320).

102525520 is an abundant number, since it is smaller than the sum of its proper divisors (155315120).

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

102525520 is a wasteful number, since it uses less digits than its factorization.

102525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 102525520 is about 10125.4886301847. The cubic root of 102525520 is about 468.0339177210.

The spelling of 102525520 in words is "one hundred two million, five hundred twenty-five thousand, five hundred twenty".