105913732 has 36 divisors (see below), whose sum is σ = 195184080. Its totient is φ = 50272080.

The previous prime is 105913699. The next prime is 105913739. The reversal of 105913732 is 237319501.

It is a super-2 number, since 2×105913732² = 22435437252335648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 105913694 and 105913703.

It is not an unprimeable number, because it can be changed into a prime (105913739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226563 + ... + 227029.

It is an arithmetic number, because the mean of its divisors is an integer number (5421780).

Almost surely, 2^105913732 is an apocalyptic number.

It is an amenable number.

105913732 is a deficient number, since it is larger than the sum of its proper divisors (89270348).

105913732 is a wasteful number, since it uses less digits than its factorization.

105913732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 105913732 is about 10291.4397437871. The cubic root of 105913732 is about 473.1339262323.

The spelling of 105913732 in words is "one hundred five million, nine hundred thirteen thousand, seven hundred thirty-two".