105664230 has 128 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 23483520.

The previous prime is 105664211. The next prime is 105664241. The reversal of 105664230 is 32466501.

105664230 is a `hidden beast` number, since 10 + 5 + 6 + 642 + 3 + 0 = 666.

It is a super-2 number, since 2×105664230² = 22329859002985800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105664194 and 105664203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69175 + ... + 70685.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^105664230 is an apocalyptic number.

105664230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105664230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

105664230 is an abundant number, since it is smaller than the sum of its proper divisors (225282330).

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

105664230 is a wasteful number, since it uses less digits than its factorization.

105664230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105664230 is about 10279.3107745607. The cubic root of 105664230 is about 472.7621120661.

The spelling of 105664230 in words is "one hundred five million, six hundred sixty-four thousand, two hundred thirty".