105040824 has 64 divisors (see below), whose sum is σ = 317779200. Its totient is φ = 28245504.

The previous prime is 105040823. The next prime is 105040843. The reversal of 105040824 is 428040501.

It is a super-2 number, since 2×105040824² = 22067149413197952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105040794 and 105040803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105040823) 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 15 ways as a sum of consecutive naturals, for example, 15534 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (4965300).

Almost surely, 2^105040824 is an apocalyptic number.

105040824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105040824 is an abundant number, since it is smaller than the sum of its proper divisors (212738376).

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

105040824 is a wasteful number, since it uses less digits than its factorization.

105040824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36812 (or 36808 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105040824 is about 10248.9425796030. The cubic root of 105040824 is about 471.8305314234.

The spelling of 105040824 in words is "one hundred five million, forty thousand, eight hundred twenty-four".