106085506556628 has 72 divisors (see below), whose sum is σ = 270180224059200. Its totient is φ = 35096395910400.

The previous prime is 106085506556593. The next prime is 106085506556641. The reversal of 106085506556628 is 826655605580601.

106085506556628 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 8 + 5 + 5 + 0 + 65 + 566 + 2 + 8 = 666.

It is a super-2 number, since 2×106085506556628² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15591250 + ... + 21336777.

Almost surely, 2^{106085506556628} is an apocalyptic number.

106085506556628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106085506556628 is an abundant number, since it is smaller than the sum of its proper divisors (164094717502572).

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

106085506556628 is a wasteful number, since it uses less digits than its factorization.

106085506556628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36928637 (or 36928632 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 106085506556628 in words is "one hundred six trillion, eighty-five billion, five hundred six million, five hundred fifty-six thousand, six hundred twenty-eight".