106066176 has 36 divisors (see below), whose sum is σ = 282292752. Its totient is φ = 35355136.

The previous prime is 106066171. The next prime is 106066193. The reversal of 106066176 is 671660601.

It is a super-2 number, since 2×106066176² = 22500067382525952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106066171) 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, 68286 + ... + 69821.

Almost surely, 2^106066176 is an apocalyptic number.

106066176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106066176 is an abundant number, since it is smaller than the sum of its proper divisors (176226576).

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

106066176 is an equidigital number, since it uses as much as digits as its factorization.

106066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138126 (or 138112 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106066176 is about 10298.8434302110. The cubic root of 106066176 is about 473.3608148209.

The spelling of 106066176 in words is "one hundred six million, sixty-six thousand, one hundred seventy-six".