106600154661 has 192 divisors, whose sum is σ = 219768546816. Its totient is φ = 47919513600.

The previous prime is 106600154653. The next prime is 106600154681. The reversal of 106600154661 is 166451006601.

It is a happy number.

106600154661 is a `hidden beast` number, since 1 + 0 + 6 + 600 + 1 + 5 + 46 + 6 + 1 = 666.

It is not a de Polignac number, because 106600154661 - 2³ = 106600154653 is a prime.

It is a super-2 number, since 2×106600154661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106600154621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43034755 + ... + 43037231.

It is an arithmetic number, because the mean of its divisors is an integer number (1144627848).

Almost surely, 2^106600154661 is an apocalyptic number.

106600154661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106600154661 is an abundant number, since it is smaller than the sum of its proper divisors (113168392155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106600154661 is a wasteful number, since it uses less digits than its factorization.

106600154661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106600154661 in words is "one hundred six billion, six hundred million, one hundred fifty-four thousand, six hundred sixty-one".