105500664 has 64 divisors (see below), whose sum is σ = 295812000. Its totient is φ = 34836480.

The previous prime is 105500663. The next prime is 105500669. The reversal of 105500664 is 466005501.

It is a happy number.

It is a super-2 number, since 2×105500664² = 22260780208881792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500663) 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, 21304 + ... + 25784.

Almost surely, 2^105500664 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 105500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147906000).

105500664 is an abundant number, since it is smaller than the sum of its proper divisors (190311336).

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

105500664 is a wasteful number, since it uses less digits than its factorization.

105500664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105500664 is about 10271.3516150505. The cubic root of 105500664 is about 472.5180441585.

The spelling of 105500664 in words is "one hundred five million, five hundred thousand, six hundred sixty-four".