106100105556 has 12 divisors (see below), whose sum is σ = 247566912992. Its totient is φ = 35366701848.

The previous prime is 106100105471. The next prime is 106100105557. The reversal of 106100105556 is 655501001601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106100105556² (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 (106100105557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4420837720 + ... + 4420837743.

Almost surely, 2^106100105556 is an apocalyptic number.

It is an amenable number.

106100105556 is an abundant number, since it is smaller than the sum of its proper divisors (141466807436).

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

106100105556 is a wasteful number, since it uses less digits than its factorization.

106100105556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841675470 (or 8841675468 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106100105556 in words is "one hundred six billion, one hundred million, one hundred five thousand, five hundred fifty-six".