101100105990 has 128 divisors (see below), whose sum is σ = 305619955200. Its totient is φ = 23576365440.

The previous prime is 101100105961. The next prime is 101100106001. The reversal of 101100105990 is 99501001101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691296 + ... + 824675.

It is an arithmetic number, because the mean of its divisors is an integer number (2387655900).

Almost surely, 2^101100105990 is an apocalyptic number.

101100105990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100105990 is an abundant number, since it is smaller than the sum of its proper divisors (204519849210).

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

101100105990 is a wasteful number, since it uses less digits than its factorization.

101100105990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516019 (or 1516013 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 27.

The spelling of 101100105990 in words is "one hundred one billion, one hundred million, one hundred five thousand, nine hundred ninety".