105767472 has 80 divisors (see below), whose sum is σ = 291088512. Its totient is φ = 32977920.

The previous prime is 105767461. The next prime is 105767477. The reversal of 105767472 is 274767501.

It is a super-2 number, since 2×105767472² = 22373516266541568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105767472.

It is not an unprimeable number, because it can be changed into a prime (105767477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184947 + ... + 185517.

Almost surely, 2^105767472 is an apocalyptic number.

105767472 is a gapful number since it is divisible by the number (12) 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 105767472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

105767472 is an abundant number, since it is smaller than the sum of its proper divisors (185321040).

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

105767472 is a wasteful number, since it uses less digits than its factorization.

105767472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 105767472 is about 10284.3313832256. The cubic root of 105767472 is about 472.9160368078.

The spelling of 105767472 in words is "one hundred five million, seven hundred sixty-seven thousand, four hundred seventy-two".