105610106106099 has 32 divisors (see below), whose sum is σ = 178811670858240. Its totient is φ = 60348325206816.

The previous prime is 105610106106091. The next prime is 105610106106107. The reversal of 105610106106099 is 990601601016501.

105610106106099 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 10 + 10 + 6 + 10 + 609 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (105610106106091) and next prime (105610106106107).

It is not a de Polignac number, because 105610106106099 - 2³ = 105610106106091 is a prime.

It is a super-2 number, since 2×105610106106099² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105610106106091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38861964 + ... + 41490630.

It is an arithmetic number, because the mean of its divisors is an integer number (5587864714320).

Almost surely, 2^{105610106106099} is an apocalyptic number.

105610106106099 is a deficient number, since it is larger than the sum of its proper divisors (73201564752141).

105610106106099 is a wasteful number, since it uses less digits than its factorization.

105610106106099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841256 (or 2841250 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 105610106106099 in words is "one hundred five trillion, six hundred ten billion, one hundred six million, one hundred six thousand, ninety-nine".