105095664 has 80 divisors (see below), whose sum is σ = 306250240. Its totient is φ = 34499520.

The previous prime is 105095647. The next prime is 105095687. The reversal of 105095664 is 466590501.

It is a super-2 number, since 2×105095664² = 22090197183201792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27129 + ... + 30759.

It is an arithmetic number, because the mean of its divisors is an integer number (3828128).

Almost surely, 2^105095664 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 105095664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153125120).

105095664 is an abundant number, since it is smaller than the sum of its proper divisors (201154576).

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

105095664 is a wasteful number, since it uses less digits than its factorization.

105095664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105095664 is about 10251.6176284526. The cubic root of 105095664 is about 471.9126286617.

The spelling of 105095664 in words is "one hundred five million, ninety-five thousand, six hundred sixty-four".