102525132420 has 72 divisors (see below), whose sum is σ = 314487253080. Its totient is φ = 27032839680.

The previous prime is 102525132407. The next prime is 102525132439. The reversal of 102525132420 is 24231525201.

102525132420 is a `hidden beast` number, since 1 + 0 + 2 + 525 + 132 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7503370884 + 95021761536 = 86622^2 + 308256^2 .

It is a super-2 number, since 2×102525132420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3183891 + ... + 3215930.

It is an arithmetic number, because the mean of its divisors is an integer number (4367878515).

Almost surely, 2^102525132420 is an apocalyptic number.

102525132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102525132420 is an abundant number, since it is smaller than the sum of its proper divisors (211962120660).

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

102525132420 is a wasteful number, since it uses less digits than its factorization.

102525132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399925 (or 6399920 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102525132420 its reverse (24231525201), we get a palindrome (126756657621).

The spelling of 102525132420 in words is "one hundred two billion, five hundred twenty-five million, one hundred thirty-two thousand, four hundred twenty".