101006905005 has 48 divisors (see below), whose sum is σ = 186364152000. Its totient is φ = 50461602048.

The previous prime is 101006904983. The next prime is 101006905037. The reversal of 101006905005 is 500509600101.

It is not a de Polignac number, because 101006905005 - 2¹¹ = 101006902957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101006905005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587595 + ... + 739784.

It is an arithmetic number, because the mean of its divisors is an integer number (3882586500).

Almost surely, 2^101006905005 is an apocalyptic number.

101006905005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101006905005 is a deficient number, since it is larger than the sum of its proper divisors (85357246995).

101006905005 is a wasteful number, since it uses less digits than its factorization.

101006905005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327498 (or 1327495 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 101006905005 in words is "one hundred one billion, six million, nine hundred five thousand, five".