100766378888 has 36 divisors (see below), whose sum is σ = 219797520165. Its totient is φ = 43182897408.

The previous prime is 100766378879. The next prime is 100766378903. The reversal of 100766378888 is 888873667001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 55999436164 + 44766942724 = 236642^2 + 211582^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224462.

It is a super-2 number, since 2×100766378888² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100766378888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6276920 + ... + 6292952.

Almost surely, 2^100766378888 is an apocalyptic number.

It is an amenable number.

100766378888 is an abundant number, since it is smaller than the sum of its proper divisors (119031141277).

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

100766378888 is an frugal number, since it uses more digits than its factorization.

100766378888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086 (or 16042 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 62.

The spelling of 100766378888 in words is "one hundred billion, seven hundred sixty-six million, three hundred seventy-eight thousand, eight hundred eighty-eight".