105294656 has 56 divisors (see below), whose sum is σ = 221955360. Its totient is φ = 49420800.

The previous prime is 105294653. The next prime is 105294661. The reversal of 105294656 is 656492501.

It is a super-2 number, since 2×105294656² = 22173929164316672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105294653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158966 + ... + 159626.

Almost surely, 2^105294656 is an apocalyptic number.

105294656 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 105294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110977680).

105294656 is an abundant number, since it is smaller than the sum of its proper divisors (116660704).

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

105294656 is a wasteful number, since it uses less digits than its factorization.

105294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 105294656 is about 10261.3184338076. The cubic root of 105294656 is about 472.2102864578.

The spelling of 105294656 in words is "one hundred five million, two hundred ninety-four thousand, six hundred fifty-six".