105145664 has 56 divisors (see below), whose sum is σ = 230002080. Its totient is φ = 47384064.

The previous prime is 105145661. The next prime is 105145669. The reversal of 105145664 is 466541501.

It is a super-2 number, since 2×105145664² = 22111221316001792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105145664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34307 + ... + 37245.

It is an arithmetic number, because the mean of its divisors is an integer number (4107180).

Almost surely, 2^105145664 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 105145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115001040).

105145664 is an abundant number, since it is smaller than the sum of its proper divisors (124856416).

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

105145664 is a wasteful number, since it uses less digits than its factorization.

105145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 105145664 is about 10254.0559780021. The cubic root of 105145664 is about 471.9874553786.

The spelling of 105145664 in words is "one hundred five million, one hundred forty-five thousand, six hundred sixty-four".