106805664 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 29514240.

The previous prime is 106805663. The next prime is 106805681. The reversal of 106805664 is 466508601.

106805664 is a `hidden beast` number, since 10 + 6 + 80 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106805664² = 22814899724961792, which contains 22 as substring.

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 (106805663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61642 + ... + 63350.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^106805664 is an apocalyptic number.

106805664 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 106805664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

106805664 is an abundant number, since it is smaller than the sum of its proper divisors (251719776).

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

106805664 is a wasteful number, since it uses less digits than its factorization.

106805664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106805664 is about 10334.6825785798. The cubic root of 106805664 is about 474.4583506359.

The spelling of 106805664 in words is "one hundred six million, eight hundred five thousand, six hundred sixty-four".