105741132 has 48 divisors (see below), whose sum is σ = 288863232. Its totient is φ = 29473920.

The previous prime is 105741131. The next prime is 105741133. The reversal of 105741132 is 231147501.

It is an interprime number because it is at equal distance from previous prime (105741131) and next prime (105741133).

It is a super-2 number, since 2×105741132² = 22362373993282848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105741131) 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, 11908 + ... + 18795.

It is an arithmetic number, because the mean of its divisors is an integer number (6017984).

Almost surely, 2^105741132 is an apocalyptic number.

105741132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105741132 is an abundant number, since it is smaller than the sum of its proper divisors (183122100).

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

105741132 is a wasteful number, since it uses less digits than its factorization.

105741132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30758 (or 30756 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105741132 is about 10283.0507146469. The cubic root of 105741132 is about 472.8767757055.

Adding to 105741132 its reverse (231147501), we get a palindrome (336888633).

The spelling of 105741132 in words is "one hundred five million, seven hundred forty-one thousand, one hundred thirty-two".