106166560815 has 32 divisors (see below), whose sum is σ = 215703490560. Its totient is φ = 48533284512.

The previous prime is 106166560811. The next prime is 106166560849. The reversal of 106166560815 is 518065661601.

106166560815 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 6 + 560 + 81 + 5 = 666.

It is not a de Polignac number, because 106166560815 - 2² = 106166560811 is a prime.

It is a super-2 number, since 2×106166560815² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166560811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56171839 + ... + 56173728.

It is an arithmetic number, because the mean of its divisors is an integer number (6740734080).

Almost surely, 2^106166560815 is an apocalyptic number.

106166560815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106166560815 is an abundant number, since it is smaller than the sum of its proper divisors (109536929745).

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

106166560815 is a wasteful number, since it uses less digits than its factorization.

106166560815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112345588 (or 112345582 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106166560815 in words is "one hundred six billion, one hundred sixty-six million, five hundred sixty thousand, eight hundred fifteen".