100061963776 has 80 divisors (see below), whose sum is σ = 207429290640. Its totient is φ = 48164085760.

The previous prime is 100061963723. The next prime is 100061963801. The reversal of 100061963776 is 677369160001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5142546 + ... + 5161966.

It is an arithmetic number, because the mean of its divisors is an integer number (2592866133).

Almost surely, 2^100061963776 is an apocalyptic number.

100061963776 is a gapful number since it is divisible by the number (16) 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 100061963776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103714645320).

100061963776 is an abundant number, since it is smaller than the sum of its proper divisors (107367326864).

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

100061963776 is an equidigital number, since it uses as much as digits as its factorization.

100061963776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19815 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 100061963776 in words is "one hundred billion, sixty-one million, nine hundred sixty-three thousand, seven hundred seventy-six".