101106777708 has 18 divisors (see below), whose sum is σ = 255575465964. Its totient is φ = 33702259224.

The previous prime is 101106777679. The next prime is 101106777713. The reversal of 101106777708 is 807777601101.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1404260766 + ... + 1404260837.

It is an arithmetic number, because the mean of its divisors is an integer number (14198636998).

Almost surely, 2^101106777708 is an apocalyptic number.

101106777708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101106777708 is an abundant number, since it is smaller than the sum of its proper divisors (154468688256).

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

101106777708 is a wasteful number, since it uses less digits than its factorization.

101106777708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808521613 (or 2808521608 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 45.

The spelling of 101106777708 in words is "one hundred one billion, one hundred six million, seven hundred seventy-seven thousand, seven hundred eight".