101005605100 has 36 divisors (see below), whose sum is σ = 226740175200. Its totient is φ = 39009060160.

The previous prime is 101005605091. The next prime is 101005605143. The reversal of 101005605100 is 1506500101.

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 11 ways as a sum of consecutive naturals, for example, 17411860 + ... + 17417659.

It is an arithmetic number, because the mean of its divisors is an integer number (6298338200).

Almost surely, 2^101005605100 is an apocalyptic number.

101005605100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005605100 is an abundant number, since it is smaller than the sum of its proper divisors (125734570100).

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

101005605100 is a wasteful number, since it uses less digits than its factorization.

101005605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34829562 (or 34829555 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 101005605100 in words is "one hundred one billion, five million, six hundred five thousand, one hundred".