106165188 has 48 divisors (see below), whose sum is σ = 276814720. Its totient is φ = 35186400.

The previous prime is 106165181. The next prime is 106165211. The reversal of 106165188 is 881561601.

It is a super-2 number, since 2×106165188² = 22542094286150688, which 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 not an unprimeable number, because it can be changed into a prime (106165181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16833 + ... + 22263.

Almost surely, 2^106165188 is an apocalyptic number.

106165188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106165188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138407360).

106165188 is an abundant number, since it is smaller than the sum of its proper divisors (170649532).

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

106165188 is a wasteful number, since it uses less digits than its factorization.

106165188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 106165188 is about 10303.6492564528. The cubic root of 106165188 is about 473.5080619659.

The spelling of 106165188 in words is "one hundred six million, one hundred sixty-five thousand, one hundred eighty-eight".