100645177780 has 288 divisors, whose sum is σ = 267195680640. Its totient is φ = 31640232960.

The previous prime is 100645177733. The next prime is 100645177781. The reversal of 100645177780 is 87771546001.

It is a self number, because there is not a number n which added to its sum of digits gives 100645177780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100645177781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239061970 + ... + 239062390.

It is an arithmetic number, because the mean of its divisors is an integer number (927762780).

Almost surely, 2^100645177780 is an apocalyptic number.

100645177780 is a gapful number since it is divisible by the number (10) 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 100645177780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133597840320).

100645177780 is an abundant number, since it is smaller than the sum of its proper divisors (166550502860).

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

100645177780 is a wasteful number, since it uses less digits than its factorization.

100645177780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 100645177780 in words is "one hundred billion, six hundred forty-five million, one hundred seventy-seven thousand, seven hundred eighty".