105999432 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 26841600.

The previous prime is 105999419. The next prime is 105999449. The reversal of 105999432 is 234999501.

It is a super-2 number, since 2×105999432² = 22471759168645248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 75069 + ... + 76467.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^105999432 is an apocalyptic number.

105999432 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 105999432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

105999432 is an abundant number, since it is smaller than the sum of its proper divisors (232688568).

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

105999432 is a wasteful number, since it uses less digits than its factorization.

105999432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 105999432 is about 10295.6025564316. The cubic root of 105999432 is about 473.2615037909.

The spelling of 105999432 in words is "one hundred five million, nine hundred ninety-nine thousand, four hundred thirty-two".