106000156656 has 80 divisors (see below), whose sum is σ = 304300523520. Its totient is φ = 35328646080.

The previous prime is 106000156553. The next prime is 106000156657. The reversal of 106000156656 is 656651000601.

It is a super-2 number, since 2×106000156656² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106000156656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000156657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4918801 + ... + 4940303.

It is an arithmetic number, because the mean of its divisors is an integer number (3803756544).

Almost surely, 2^106000156656 is an apocalyptic number.

106000156656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106000156656 is an abundant number, since it is smaller than the sum of its proper divisors (198300366864).

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

106000156656 is a wasteful number, since it uses less digits than its factorization.

106000156656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32931 (or 32919 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106000156656 in words is "one hundred six billion, one hundred fifty-six thousand, six hundred fifty-six".