105923664 has 240 divisors, whose sum is σ = 380225664. Its totient is φ = 26726400.

The previous prime is 105923639. The next prime is 105923669. The reversal of 105923664 is 466329501.

It is a happy number.

105923664 is a `hidden beast` number, since 1 + 0 + 592 + 3 + 6 + 64 = 666.

It is a super-2 number, since 2×105923664² = 22439645190369792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 not an unprimeable number, because it can be changed into a prime (105923669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454492 + ... + 454724.

Almost surely, 2^105923664 is an apocalyptic number.

105923664 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 105923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

105923664 is an abundant number, since it is smaller than the sum of its proper divisors (274302000).

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

105923664 is a wasteful number, since it uses less digits than its factorization.

105923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 105923664 is about 10291.9222694305. The cubic root of 105923664 is about 473.1487150583.

The spelling of 105923664 in words is "one hundred five million, nine hundred twenty-three thousand, six hundred sixty-four".