105665364 has 144 divisors (see below), whose sum is σ = 327116160. Its totient is φ = 29393280.

The previous prime is 105665341. The next prime is 105665407. The reversal of 105665364 is 463566501.

It is a super-2 number, since 2×105665364² = 22330338298504992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 216729 + ... + 217215.

It is an arithmetic number, because the mean of its divisors is an integer number (2271640).

Almost surely, 2^105665364 is an apocalyptic number.

105665364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105665364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163558080).

105665364 is an abundant number, since it is smaller than the sum of its proper divisors (221450796).

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

105665364 is a wasteful number, since it uses less digits than its factorization.

105665364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 105665364 is about 10279.3659337529. The cubic root of 105665364 is about 472.7638033048.

The spelling of 105665364 in words is "one hundred five million, six hundred sixty-five thousand, three hundred sixty-four".