100020405886032 has 640 divisors, whose sum is σ = 279976937472000. Its totient is φ = 30719779504128.

The previous prime is 100020405885989. The next prime is 100020405886043. The reversal of 100020405886032 is 230688504020001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166978974469 + ... + 166978975067.

It is an arithmetic number, because the mean of its divisors is an integer number (437463964800).

Almost surely, 2^{100020405886032} is an apocalyptic number.

100020405886032 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 100020405886032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139988468736000).

100020405886032 is an abundant number, since it is smaller than the sum of its proper divisors (179956531585968).

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

100020405886032 is a wasteful number, since it uses less digits than its factorization.

100020405886032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 100020405886032 in words is "one hundred trillion, twenty billion, four hundred five million, eight hundred eighty-six thousand, thirty-two".