106011664 has 40 divisors (see below), whose sum is σ = 225610560. Its totient is φ = 47856000.

The previous prime is 106011637. The next prime is 106011679. The reversal of 106011664 is 466110601.

It is a super-2 number, since 2×106011664² = 22476945808097792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24582 + ... + 28570.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2^106011664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112805280).

106011664 is an abundant number, since it is smaller than the sum of its proper divisors (119598896).

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

106011664 is a wasteful number, since it uses less digits than its factorization.

106011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 106011664 is about 10296.1965793200. The cubic root of 106011664 is about 473.2797073855.

The spelling of 106011664 in words is "one hundred six million, eleven thousand, six hundred sixty-four".