105117664 has 48 divisors (see below), whose sum is σ = 222209568. Its totient is φ = 48771072.

The previous prime is 105117653. The next prime is 105117679. The reversal of 105117664 is 466711501.

It is a super-2 number, since 2×105117664² = 22099446569633792, 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 7 ways as a sum of consecutive naturals, for example, 38389 + ... + 41035.

It is an arithmetic number, because the mean of its divisors is an integer number (4629366).

Almost surely, 2^105117664 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 105117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111104784).

105117664 is an abundant number, since it is smaller than the sum of its proper divisors (117091904).

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

105117664 is a wasteful number, since it uses less digits than its factorization.

105117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105117664 is about 10252.6905736982. The cubic root of 105117664 is about 471.9455553403.

The spelling of 105117664 in words is "one hundred five million, one hundred seventeen thousand, six hundred sixty-four".