105123132 has 72 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 33616800.

The previous prime is 105123127. The next prime is 105123157. The reversal of 105123132 is 231321501.

It is a super-2 number, since 2×105123132² = 22101745762978848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90757 + ... + 91907.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2^105123132 is an apocalyptic number.

105123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

105123132 is an abundant number, since it is smaller than the sum of its proper divisors (171633348).

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

105123132 is a wasteful number, since it uses less digits than its factorization.

105123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105123132 is about 10252.9572319405. The cubic root of 105123132 is about 471.9537384038.

Adding to 105123132 its reverse (231321501), we get a palindrome (336444633).

The spelling of 105123132 in words is "one hundred five million, one hundred twenty-three thousand, one hundred thirty-two".