105329240 has 32 divisors (see below), whose sum is σ = 238811760. Its totient is φ = 41808000.

The previous prime is 105329239. The next prime is 105329243. The reversal of 105329240 is 42923501.

It is a super-2 number, since 2×105329240² = 22188497597955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105329243) 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, 4811 + ... + 15290.

Almost surely, 2^105329240 is an apocalyptic number.

105329240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105329240 is an abundant number, since it is smaller than the sum of its proper divisors (133482520).

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

105329240 is a wasteful number, since it uses less digits than its factorization.

105329240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20243 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105329240 is about 10263.0034590270. The cubic root of 105329240 is about 472.2619799103.

The spelling of 105329240 in words is "one hundred five million, three hundred twenty-nine thousand, two hundred forty".