104948927424 has 224 divisors, whose sum is σ = 337372147200. Its totient is φ = 31727738880.

The previous prime is 104948927351. The next prime is 104948927429. The reversal of 104948927424 is 424729849401.

104948927424 is a `hidden beast` number, since 1 + 0 + 494 + 89 + 2 + 74 + 2 + 4 = 666.

It is a super-2 number, since 2×104948927424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104948927429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8338224 + ... + 8350800.

Almost surely, 2^104948927424 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 104948927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168686073600).

104948927424 is an abundant number, since it is smaller than the sum of its proper divisors (232423219776).

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

104948927424 is a wasteful number, since it uses less digits than its factorization.

104948927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 104948927424 in words is "one hundred four billion, nine hundred forty-eight million, nine hundred twenty-seven thousand, four hundred twenty-four".