104973120 has 336 divisors, whose sum is σ = 426037248. Its totient is φ = 23224320.

The previous prime is 104973091. The next prime is 104973149. The reversal of 104973120 is 21379401.

It is an interprime number because it is at equal distance from previous prime (104973091) and next prime (104973149).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×104973120² = 22038711845068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826497 + ... + 826623.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^104973120 is an apocalyptic number.

104973120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

104973120 is an abundant number, since it is smaller than the sum of its proper divisors (321064128).

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

104973120 is a wasteful number, since it uses less digits than its factorization.

104973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 104973120 is about 10245.6390723078. The cubic root of 104973120 is about 471.7291369405.

The spelling of 104973120 in words is "one hundred four million, nine hundred seventy-three thousand, one hundred twenty".