100442416160 has 48 divisors (see below), whose sum is σ = 237318897816. Its totient is φ = 40172955648.

The previous prime is 100442416121. The next prime is 100442416163. The reversal of 100442416160 is 61614244001.

It can be written as a sum of positive squares in 4 ways, for example, as 97102038544 + 3340377616 = 311612^2 + 57796^2 .

It is not an unprimeable number, because it can be changed into a prime (100442416163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977644 + ... + 2027796.

Almost surely, 2^100442416160 is an apocalyptic number.

100442416160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100442416160 is an abundant number, since it is smaller than the sum of its proper divisors (136876481656).

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

100442416160 is a wasteful number, since it uses less digits than its factorization.

100442416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62685 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 100442416160 in words is "one hundred billion, four hundred forty-two million, four hundred sixteen thousand, one hundred sixty".