106112664 has 96 divisors (see below), whose sum is σ = 330613920. Its totient is φ = 30117888.

The previous prime is 106112647. The next prime is 106112687. The reversal of 106112664 is 466211601.

It is a super-2 number, since 2×106112664² = 22519794922353792, which 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 23 ways as a sum of consecutive naturals, for example, 86584 + ... + 87800.

It is an arithmetic number, because the mean of its divisors is an integer number (3443895).

Almost surely, 2^106112664 is an apocalyptic number.

106112664 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 106112664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165306960).

106112664 is an abundant number, since it is smaller than the sum of its proper divisors (224501256).

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

106112664 is a wasteful number, since it uses less digits than its factorization.

106112664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106112664 is about 10301.1001354224. The cubic root of 106112664 is about 473.4299615373.

The spelling of 106112664 in words is "one hundred six million, one hundred twelve thousand, six hundred sixty-four".