106164044 has 48 divisors (see below), whose sum is σ = 222663168. Its totient is φ = 43304448.

The previous prime is 106164013. The next prime is 106164049. The reversal of 106164044 is 440461601.

It is a super-2 number, since 2×106164044² = 22541608476867872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106164049) 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, 227099 + ... + 227565.

It is an arithmetic number, because the mean of its divisors is an integer number (4638816).

Almost surely, 2^106164044 is an apocalyptic number.

106164044 is a gapful number since it is divisible by the number (14) 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 106164044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111331584).

106164044 is an abundant number, since it is smaller than the sum of its proper divisors (116499124).

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

106164044 is a wasteful number, since it uses less digits than its factorization.

106164044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 106164044 is about 10303.5937419912. The cubic root of 106164044 is about 473.5063611724.

The spelling of 106164044 in words is "one hundred six million, one hundred sixty-four thousand, forty-four".