101170105 has 16 divisors (see below), whose sum is σ = 123586560. Its totient is φ = 79494912.

The previous prime is 101170087. The next prime is 101170141. The reversal of 101170105 is 501071101.

It is a cyclic number.

It is not a de Polignac number, because 101170105 - 2⁷ = 101169977 is a prime.

It is a super-2 number, since 2×101170105² = 20470780291422050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67201 + ... + 68689.

It is an arithmetic number, because the mean of its divisors is an integer number (7724160).

Almost surely, 2^101170105 is an apocalyptic number.

It is an amenable number.

101170105 is a deficient number, since it is larger than the sum of its proper divisors (22416455).

101170105 is a wasteful number, since it uses less digits than its factorization.

With its successor (101170106) it forms an eRAP, since the sums of their prime factors are consecutive (1728 and 1729).

101170105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 35, while the sum is 16.

The square root of 101170105 is about 10058.3351008007. The cubic root of 101170105 is about 465.9622498846.

The spelling of 101170105 in words is "one hundred one million, one hundred seventy thousand, one hundred five".