100753431042576 has 80 divisors (see below), whose sum is σ = 287137827002880. Its totient is φ = 30244932387840.

The previous prime is 100753431042503. The next prime is 100753431042577. The reversal of 100753431042576 is 675240134357001.

It is a super-2 number, since 2×100753431042576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100753431042577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969045536 + ... + 1969096703.

It is an arithmetic number, because the mean of its divisors is an integer number (3589222837536).

Almost surely, 2^{100753431042576} is an apocalyptic number.

100753431042576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100753431042576 is an abundant number, since it is smaller than the sum of its proper divisors (186384395960304).

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

100753431042576 is a wasteful number, since it uses less digits than its factorization.

100753431042576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938142304 (or 3938142298 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

Adding to 100753431042576 its reverse (675240134357001), we get a palindrome (775993565399577).

The spelling of 100753431042576 in words is "one hundred trillion, seven hundred fifty-three billion, four hundred thirty-one million, forty-two thousand, five hundred seventy-six".