100525280532 has 96 divisors (see below), whose sum is σ = 254161152000. Its totient is φ = 30803013120.

The previous prime is 100525280519. The next prime is 100525280539. The reversal of 100525280532 is 235082525001.

It is a junction number, because it is equal to n+sod(n) for n = 100525280493 and 100525280502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100525280539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4773907 + ... + 4794917.

It is an arithmetic number, because the mean of its divisors is an integer number (2647512000).

Almost surely, 2^100525280532 is an apocalyptic number.

100525280532 is a gapful number since it is divisible by the number (12) 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 100525280532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127080576000).

100525280532 is an abundant number, since it is smaller than the sum of its proper divisors (153635871468).

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

100525280532 is a wasteful number, since it uses less digits than its factorization.

100525280532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21581 (or 21579 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 100525280532 in words is "one hundred billion, five hundred twenty-five million, two hundred eighty thousand, five hundred thirty-two".