106111106055661 has 32 divisors (see below), whose sum is σ = 122334390097920. Its totient is φ = 90156075299136.

The previous prime is 106111106055653. The next prime is 106111106055679. The reversal of 106111106055661 is 166550601111601.

It is not a de Polignac number, because 106111106055661 - 2³ = 106111106055653 is a prime.

It is a super-2 number, since 2×106111106055661² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111106055601) 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, 3786017530 + ... + 3786045556.

It is an arithmetic number, because the mean of its divisors is an integer number (3822949690560).

Almost surely, 2^{106111106055661} is an apocalyptic number.

It is an amenable number.

106111106055661 is a deficient number, since it is larger than the sum of its proper divisors (16223284042259).

106111106055661 is a wasteful number, since it uses less digits than its factorization.

106111106055661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34153.

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 106111106055661 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-five thousand, six hundred sixty-one".