105129372 has 12 divisors (see below), whose sum is σ = 245301896. Its totient is φ = 35043120.

The previous prime is 105129361. The next prime is 105129373. The reversal of 105129372 is 273921501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105129372² = 22104369714228768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105129373) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4380379 + ... + 4380402.

Almost surely, 2^105129372 is an apocalyptic number.

105129372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105129372 is an abundant number, since it is smaller than the sum of its proper divisors (140172524).

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

105129372 is a wasteful number, since it uses less digits than its factorization.

105129372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760788 (or 8760786 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105129372 is about 10253.2615298743. The cubic root of 105129372 is about 471.9630764471.

It can be divided in two parts, 105129 and 372, that added together give a palindrome (105501).

The spelling of 105129372 in words is "one hundred five million, one hundred twenty-nine thousand, three hundred seventy-two".