106166611056 has 80 divisors (see below), whose sum is σ = 316796652288. Its totient is φ = 30279244800.

The previous prime is 106166611043. The next prime is 106166611069. The reversal of 106166611056 is 650116661601.

106166611056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106166611043) and next prime (106166611069).

It is a super-2 number, since 2×106166611056² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 5904940 + ... + 5922891.

Almost surely, 2^106166611056 is an apocalyptic number.

106166611056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106166611056 is an abundant number, since it is smaller than the sum of its proper divisors (210630041232).

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

106166611056 is a wasteful number, since it uses less digits than its factorization.

106166611056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827870 (or 11827864 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 106166611056 in words is "one hundred six billion, one hundred sixty-six million, six hundred eleven thousand, fifty-six".