105156736 has 48 divisors (see below), whose sum is σ = 219137310. Its totient is φ = 50259968.

The previous prime is 105156731. The next prime is 105156749. The reversal of 105156736 is 637651501.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 2742336 = 10120^2 + 1656^2 .

It is a super-2 number, since 2×105156736² = 22115878252347392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105156731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66936 + ... + 68488.

Almost surely, 2^105156736 is an apocalyptic number.

105156736 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 105156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109568655).

105156736 is an abundant number, since it is smaller than the sum of its proper divisors (113980574).

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

105156736 is an equidigital number, since it uses as much as digits as its factorization.

105156736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 105156736 is about 10254.5958477163. The cubic root of 105156736 is about 472.0040217985.

The spelling of 105156736 in words is "one hundred five million, one hundred fifty-six thousand, seven hundred thirty-six".