101100105978 has 64 divisors (see below), whose sum is σ = 206146225152. Its totient is φ = 33049175040.

The previous prime is 101100105961. The next prime is 101100106001. The reversal of 101100105978 is 879501001101.

It is a super-3 number, since 3×101100105978³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60647101 + ... + 60648767.

It is an arithmetic number, because the mean of its divisors is an integer number (3221034768).

Almost surely, 2^101100105978 is an apocalyptic number.

101100105978 is an abundant number, since it is smaller than the sum of its proper divisors (105046119174).

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

101100105978 is a wasteful number, since it uses less digits than its factorization.

101100105978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579.

The product of its (nonzero) digits is 2520, while the sum is 33.

The spelling of 101100105978 in words is "one hundred one billion, one hundred million, one hundred five thousand, nine hundred seventy-eight".