105351132 has 24 divisors (see below), whose sum is σ = 256507776. Its totient is φ = 33590128.

The previous prime is 105351131. The next prime is 105351137. The reversal of 105351132 is 231153501.

It is a super-2 number, since 2×105351132² = 22197722027362848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105351099 and 105351108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105351131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190578 + ... + 191129.

It is an arithmetic number, because the mean of its divisors is an integer number (10687824).

Almost surely, 2^105351132 is an apocalyptic number.

105351132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105351132 is an abundant number, since it is smaller than the sum of its proper divisors (151156644).

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

105351132 is a wasteful number, since it uses less digits than its factorization.

105351132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381737 (or 381735 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105351132 is about 10264.0699529962. The cubic root of 105351132 is about 472.2946965079.

The spelling of 105351132 in words is "one hundred five million, three hundred fifty-one thousand, one hundred thirty-two".