105329994 has 64 divisors (see below), whose sum is σ = 278111232. Its totient is φ = 25747200.

The previous prime is 105329993. The next prime is 105330023. The reversal of 105329994 is 499923501.

It is a super-2 number, since 2×105329994² = 22188815272080072, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105329993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (4345488).

Almost surely, 2^105329994 is an apocalyptic number.

105329994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105329994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139055616).

105329994 is an abundant number, since it is smaller than the sum of its proper divisors (172781238).

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

105329994 is a wasteful number, since it uses less digits than its factorization.

105329994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451.

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

The square root of 105329994 is about 10263.0401928473. The cubic root of 105329994 is about 472.2631068044.

The spelling of 105329994 in words is "one hundred five million, three hundred twenty-nine thousand, nine hundred ninety-four".