100070959104 has 144 divisors (see below), whose sum is σ = 289674845460. Its totient is φ = 33281802240.

The previous prime is 100070959091. The next prime is 100070959133. The reversal of 100070959104 is 401959070001.

It can be written as a sum of positive squares in 2 ways, for example, as 100058342400 + 12616704 = 316320^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8491264 + ... + 8503040.

Almost surely, 2^100070959104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100070959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837422730).

100070959104 is an abundant number, since it is smaller than the sum of its proper divisors (189603886356).

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

100070959104 is a wasteful number, since it uses less digits than its factorization.

100070959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266 (or 12243 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 100070959104 in words is "one hundred billion, seventy million, nine hundred fifty-nine thousand, one hundred four".