105084736 has 56 divisors (see below), whose sum is σ = 216204800. Its totient is φ = 50637312.

The previous prime is 105084731. The next prime is 105084737. The reversal of 105084736 is 637480501.

It is a super-2 number, since 2×105084736² = 22085603480379392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105084731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471121 + ... + 471343.

It is an arithmetic number, because the mean of its divisors is an integer number (3860800).

Almost surely, 2^105084736 is an apocalyptic number.

105084736 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 105084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108102400).

105084736 is an abundant number, since it is smaller than the sum of its proper divisors (111120064).

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

105084736 is a wasteful number, since it uses less digits than its factorization.

105084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 105084736 is about 10251.0846255409. The cubic root of 105084736 is about 471.8962713742.

The spelling of 105084736 in words is "one hundred five million, eighty-four thousand, seven hundred thirty-six".