100448138112 has 64 divisors (see below), whose sum is σ = 304931856000. Its totient is φ = 28699467264.

The previous prime is 100448138093. The next prime is 100448138123. The reversal of 100448138112 is 211831844001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18681862 + ... + 18687237.

It is an arithmetic number, because the mean of its divisors is an integer number (4764560250).

Almost surely, 2^100448138112 is an apocalyptic number.

100448138112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100448138112 is an abundant number, since it is smaller than the sum of its proper divisors (204483717888).

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

100448138112 is an equidigital number, since it uses as much as digits as its factorization.

100448138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37369123 (or 37369111 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 100448138112 in words is "one hundred billion, four hundred forty-eight million, one hundred thirty-eight thousand, one hundred twelve".