105424680 has 32 divisors (see below), whose sum is σ = 316274400. Its totient is φ = 28113216.

The previous prime is 105424661. The next prime is 105424687. The reversal of 105424680 is 86424501.

It is a super-2 number, since 2×105424680² = 22228726306204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105424687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 439150 + ... + 439389.

It is an arithmetic number, because the mean of its divisors is an integer number (9883575).

Almost surely, 2^105424680 is an apocalyptic number.

105424680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424680 is an abundant number, since it is smaller than the sum of its proper divisors (210849720).

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

105424680 is a wasteful number, since it uses less digits than its factorization.

105424680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878553 (or 878549 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105424680 is about 10267.6521172077. The cubic root of 105424680 is about 472.4045774663.

The spelling of 105424680 in words is "one hundred five million, four hundred twenty-four thousand, six hundred eighty".