100820573532 has 96 divisors (see below), whose sum is σ = 301807511040. Its totient is φ = 28508889600.

The previous prime is 100820573527. The next prime is 100820573533. The reversal of 100820573532 is 235375028001.

It is a happy number.

100820573532 is a `hidden beast` number, since 1 + 0 + 0 + 82 + 0 + 573 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100820573533) 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, 614094 + ... + 760757.

It is an arithmetic number, because the mean of its divisors is an integer number (3143828240).

Almost surely, 2^100820573532 is an apocalyptic number.

100820573532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100820573532 is an abundant number, since it is smaller than the sum of its proper divisors (200986937508).

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

100820573532 is a wasteful number, since it uses less digits than its factorization.

100820573532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374968 (or 1374960 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 100820573532 in words is "one hundred billion, eight hundred twenty million, five hundred seventy-three thousand, five hundred thirty-two".