106105111762665 has 32 divisors (see below), whose sum is σ = 172973462449536. Its totient is φ = 55520991119360.

The previous prime is 106105111762613. The next prime is 106105111762703. The reversal of 106105111762665 is 566267111501601.

It is not a de Polignac number, because 106105111762665 - 2¹⁴ = 106105111746281 is a prime.

It is a super-2 number, since 2×106105111762665² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68045062 + ... + 69586928.

It is an arithmetic number, because the mean of its divisors is an integer number (5405420701548).

Almost surely, 2^{106105111762665} is an apocalyptic number.

106105111762665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105111762665 is a deficient number, since it is larger than the sum of its proper divisors (66868350686871).

106105111762665 is a wasteful number, since it uses less digits than its factorization.

106105111762665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628489.

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 106105111762665 in words is "one hundred six trillion, one hundred five billion, one hundred eleven million, seven hundred sixty-two thousand, six hundred sixty-five".