105000432 has 40 divisors (see below), whose sum is σ = 287209296. Its totient is φ = 32941056.

The previous prime is 105000431. The next prime is 105000437. The reversal of 105000432 is 234000501.

It is a super-2 number, since 2×105000432² = 22050181440373248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000431) 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, 63523 + ... + 65154.

Almost surely, 2^105000432 is an apocalyptic number.

105000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105000432 is an abundant number, since it is smaller than the sum of its proper divisors (182208864).

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

105000432 is a wasteful number, since it uses less digits than its factorization.

105000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128705 (or 128699 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105000432 is about 10246.9718453795. The cubic root of 105000432 is about 471.7700450288.

Adding to 105000432 its reverse (234000501), we get a palindrome (339000933).

The spelling of 105000432 in words is "one hundred five million, four hundred thirty-two", and thus it is an aban number.