105172736 has 36 divisors (see below), whose sum is σ = 210769104. Its totient is φ = 52377600.

The previous prime is 105172729. The next prime is 105172741. The reversal of 105172736 is 637271501.

It is a super-2 number, since 2×105172736² = 22122608795451392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78956 + ... + 80276.

Almost surely, 2^105172736 is an apocalyptic number.

105172736 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 105172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105384552).

105172736 is an abundant number, since it is smaller than the sum of its proper divisors (105596368).

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

105172736 is an equidigital number, since it uses as much as digits as its factorization.

105172736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 105172736 is about 10255.3759560535. The cubic root of 105172736 is about 472.0279596575.

The spelling of 105172736 in words is "one hundred five million, one hundred seventy-two thousand, seven hundred thirty-six".