105253664 has 48 divisors (see below), whose sum is σ = 220939488. Its totient is φ = 49185792.

The previous prime is 105253651. The next prime is 105253693. The reversal of 105253664 is 466352501.

It is a super-2 number, since 2×105253664² = 22156667570849792, 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 105253664.

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, 88079 + ... + 89265.

It is an arithmetic number, because the mean of its divisors is an integer number (4602906).

Almost surely, 2^105253664 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 105253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469744).

105253664 is an abundant number, since it is smaller than the sum of its proper divisors (115685824).

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

105253664 is a wasteful number, since it uses less digits than its factorization.

105253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 105253664 is about 10259.3208352210. The cubic root of 105253664 is about 472.1490001676.

The spelling of 105253664 in words is "one hundred five million, two hundred fifty-three thousand, six hundred sixty-four".