104958126 has 192 divisors, whose sum is σ = 303575040. Its totient is φ = 26282880.

The previous prime is 104958107. The next prime is 104958127. The reversal of 104958126 is 621859401.

104958126 is a `hidden beast` number, since 10 + 49 + 581 + 26 = 666.

It is a super-2 number, since 2×104958126² = 22032416426863752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104958127) 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 95 ways as a sum of consecutive naturals, for example, 1980316 + ... + 1980368.

It is an arithmetic number, because the mean of its divisors is an integer number (1581120).

Almost surely, 2^104958126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104958126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

104958126 is an abundant number, since it is smaller than the sum of its proper divisors (198616914).

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

104958126 is a wasteful number, since it uses less digits than its factorization.

104958126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 104958126 is about 10244.9073202250. The cubic root of 104958126 is about 471.7066758144.

The spelling of 104958126 in words is "one hundred four million, nine hundred fifty-eight thousand, one hundred twenty-six".