102525120 has 168 divisors, whose sum is σ = 357249984. Its totient is φ = 26984448.

The previous prime is 102525119. The next prime is 102525127. The reversal of 102525120 is 21525201.

102525120 is a `hidden beast` number, since 102 + 52 + 512 + 0 = 666.

It is a super-2 number, since 2×102525120² = 21022800462028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102525093 and 102525102.

It is not an unprimeable number, because it can be changed into a prime (102525127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279177 + ... + 279543.

It is an arithmetic number, because the mean of its divisors is an integer number (2126488).

Almost surely, 2^102525120 is an apocalyptic number.

102525120 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 102525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178624992).

102525120 is an abundant number, since it is smaller than the sum of its proper divisors (254724864).

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

102525120 is a wasteful number, since it uses less digits than its factorization.

102525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102525120 is about 10125.4688780323. The cubic root of 102525120 is about 468.0333090472.

The spelling of 102525120 in words is "one hundred two million, five hundred twenty-five thousand, one hundred twenty".