106849110105 has 12 divisors (see below), whose sum is σ = 185205124260. Its totient is φ = 56986192032.

The previous prime is 106849110091. The next prime is 106849110113. The reversal of 106849110105 is 501011948601.

It is a happy number.

106849110105 is a `hidden beast` number, since 1 + 0 + 68 + 491 + 1 + 0 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15419678976 + 91429431129 = 124176^2 + 302373^2 .

It is not a de Polignac number, because 106849110105 - 2¹² = 106849106009 is a prime.

It is a super-2 number, since 2×106849110105² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106849110105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187212290 + ... + 1187212379.

It is an arithmetic number, because the mean of its divisors is an integer number (15433760355).

Almost surely, 2^106849110105 is an apocalyptic number.

106849110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106849110105 is a deficient number, since it is larger than the sum of its proper divisors (78356014155).

106849110105 is a wasteful number, since it uses less digits than its factorization.

106849110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374424680 (or 2374424677 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 106849110105 in words is "one hundred six billion, eight hundred forty-nine million, one hundred ten thousand, one hundred five".