105266736 has 40 divisors (see below), whose sum is σ = 302155760. Its totient is φ = 35088768.

The previous prime is 105266729. The next prime is 105266743. The reversal of 105266736 is 637662501.

It is an interprime number because it is at equal distance from previous prime (105266729) and next prime (105266743).

It is a super-2 number, since 2×105266736² = 22162171416187392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105266736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121405 + ... + 122268.

It is an arithmetic number, because the mean of its divisors is an integer number (7553894).

Almost surely, 2^105266736 is an apocalyptic number.

105266736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105266736 is an abundant number, since it is smaller than the sum of its proper divisors (196889024).

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

105266736 is a wasteful number, since it uses less digits than its factorization.

105266736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243690 (or 243678 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 105266736 is about 10259.9578946504. The cubic root of 105266736 is about 472.1685455718.

The spelling of 105266736 in words is "one hundred five million, two hundred sixty-six thousand, seven hundred thirty-six".