105297024 has 128 divisors (see below), whose sum is σ = 327444480. Its totient is φ = 29352960.

The previous prime is 105297011. The next prime is 105297029. The reversal of 105297024 is 420792501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105297024² = 22174926526513152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105296982 and 105297000.

It is not an unprimeable number, because it can be changed into a prime (105297029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115129 + ... + 116039.

It is an arithmetic number, because the mean of its divisors is an integer number (2558160).

Almost surely, 2^105297024 is an apocalyptic number.

105297024 is a gapful number since it is divisible by the number (14) 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 105297024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163722240).

105297024 is an abundant number, since it is smaller than the sum of its proper divisors (222147456).

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

105297024 is an equidigital number, since it uses as much as digits as its factorization.

105297024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105297024 is about 10261.4338179418. The cubic root of 105297024 is about 472.2138263195.

The spelling of 105297024 in words is "one hundred five million, two hundred ninety-seven thousand, twenty-four".