100761828800 has 168 divisors, whose sum is σ = 264852887616. Its totient is φ = 37597020160.

The previous prime is 100761828787. The next prime is 100761828803. The reversal of 100761828800 is 8828167001.

It is a super-2 number, since 2×100761828800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100761828803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3057209 + ... + 3089991.

Almost surely, 2^100761828800 is an apocalyptic number.

100761828800 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 100761828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132426443808).

100761828800 is an abundant number, since it is smaller than the sum of its proper divisors (164091058816).

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

100761828800 is a wasteful number, since it uses less digits than its factorization.

100761828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32935 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 100761828800 in words is "one hundred billion, seven hundred sixty-one million, eight hundred twenty-eight thousand, eight hundred".