106506114660 has 72 divisors (see below), whose sum is σ = 352438422336. Its totient is φ = 25819663680.

The previous prime is 106506114629. The next prime is 106506114661. The reversal of 106506114660 is 66411605601.

It is a happy number.

106506114660 is a `hidden beast` number, since 1 + 0 + 6 + 506 + 1 + 146 + 6 + 0 = 666.

It is a super-2 number, since 2×106506114660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106506114661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26893504 + ... + 26897463.

It is an arithmetic number, because the mean of its divisors is an integer number (4894978088).

Almost surely, 2^106506114660 is an apocalyptic number.

106506114660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106506114660 is an abundant number, since it is smaller than the sum of its proper divisors (245932307676).

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

106506114660 is a wasteful number, since it uses less digits than its factorization.

106506114660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53790993 (or 53790988 counting only the distinct ones).

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

The spelling of 106506114660 in words is "one hundred six billion, five hundred six million, one hundred fourteen thousand, six hundred sixty".