104957424 has 160 divisors (see below), whose sum is σ = 354144000. Its totient is φ = 29341440.

The previous prime is 104957423. The next prime is 104957449. The reversal of 104957424 is 424759401.

It is a happy number.

It is a super-2 number, since 2×104957424² = 22032121705431552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104957423) 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 31 ways as a sum of consecutive naturals, for example, 60927 + ... + 62625.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^104957424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104957424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072000).

104957424 is an abundant number, since it is smaller than the sum of its proper divisors (249186576).

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

104957424 is a wasteful number, since it uses less digits than its factorization.

104957424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104957424 is about 10244.8730592429. The cubic root of 104957424 is about 471.7056241606.

The spelling of 104957424 in words is "one hundred four million, nine hundred fifty-seven thousand, four hundred twenty-four".