100496830720 has 864 divisors, whose sum is σ = 312390570240. Its totient is φ = 30656102400.

The previous prime is 100496830627. The next prime is 100496830723. The reversal of 100496830720 is 27038694001.

It is a super-2 number, since 2×100496830720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100496830723) 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, 1415448285 + ... + 1415448355.

It is an arithmetic number, because the mean of its divisors is an integer number (361563160).

Almost surely, 2^100496830720 is an apocalyptic number.

100496830720 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 100496830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156195285120).

100496830720 is an abundant number, since it is smaller than the sum of its proper divisors (211893739520).

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

100496830720 is a wasteful number, since it uses less digits than its factorization.

100496830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 100496830720 in words is "one hundred billion, four hundred ninety-six million, eight hundred thirty thousand, seven hundred twenty".