102125520 has 240 divisors, whose sum is σ = 409473792. Its totient is φ = 22302720.

The previous prime is 102125509. The next prime is 102125539. The reversal of 102125520 is 25521201.

102125520 is a `hidden beast` number, since 102 + 12 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 102125493 and 102125502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115480 + ... + 116360.

Almost surely, 2^102125520 is an apocalyptic number.

102125520 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 102125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

102125520 is an abundant number, since it is smaller than the sum of its proper divisors (307348272).

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

102125520 is a wasteful number, since it uses less digits than its factorization.

102125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

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

The square root of 102125520 is about 10105.7171937473. The cubic root of 102125520 is about 467.4244513644.

Adding to 102125520 its reverse (25521201), we get a palindrome (127646721).

The spelling of 102125520 in words is "one hundred two million, one hundred twenty-five thousand, five hundred twenty".