100820265152 has 112 divisors (see below), whose sum is σ = 208289347200. Its totient is φ = 48392847360.

The previous prime is 100820265131. The next prime is 100820265167. The reversal of 100820265152 is 251562028001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27447188 + ... + 27450860.

Almost surely, 2^100820265152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100820265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104144673600).

100820265152 is an abundant number, since it is smaller than the sum of its proper divisors (107469082048).

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

100820265152 is an equidigital number, since it uses as much as digits as its factorization.

100820265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 100820265152 in words is "one hundred billion, eight hundred twenty million, two hundred sixty-five thousand, one hundred fifty-two".