105105132 has 36 divisors (see below), whose sum is σ = 289836456. Its totient is φ = 31849920.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105132 is 231501501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105105132² = 22094177545474848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132313 + ... + 133104.

Almost surely, 2^105105132 is an apocalyptic number.

105105132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105105132 is an abundant number, since it is smaller than the sum of its proper divisors (184731324).

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

105105132 is a wasteful number, since it uses less digits than its factorization.

105105132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265438 (or 265433 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105105132 is about 10252.0793988342. The cubic root of 105105132 is about 471.9267996700.

Adding to 105105132 its reverse (231501501), we get a palindrome (336606633).

The spelling of 105105132 in words is "one hundred five million, one hundred five thousand, one hundred thirty-two".