105661732 has 48 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 43635200.

The previous prime is 105661723. The next prime is 105661741. The reversal of 105661732 is 237166501.

It is an interprime number because it is at equal distance from previous prime (105661723) and next prime (105661741).

It is a super-2 number, since 2×105661732² = 22328803218479648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105661694 and 105661703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19257 + ... + 24127.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2^105661732 is an apocalyptic number.

It is an amenable number.

105661732 is an abundant number, since it is smaller than the sum of its proper divisors (115332188).

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

105661732 is a wasteful number, since it uses less digits than its factorization.

105661732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105661732 is about 10279.1892676417. The cubic root of 105661732 is about 472.7583865257.

The spelling of 105661732 in words is "one hundred five million, six hundred sixty-one thousand, seven hundred thirty-two".