105046656 has 128 divisors (see below), whose sum is σ = 327983040. Its totient is φ = 29368320.

The previous prime is 105046567. The next prime is 105046691. The reversal of 105046656 is 656640501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105046656² = 22069599873564672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53956 + ... + 55868.

Almost surely, 2^105046656 is an apocalyptic number.

105046656 is a gapful number since it is divisible by the number (16) 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 105046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163991520).

105046656 is an abundant number, since it is smaller than the sum of its proper divisors (222936384).

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

105046656 is a wasteful number, since it uses less digits than its factorization.

105046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105046656 is about 10249.2270928105. The cubic root of 105046656 is about 471.8392634720.

The spelling of 105046656 in words is "one hundred five million, forty-six thousand, six hundred fifty-six".