104971300 has 72 divisors (see below), whose sum is σ = 269357760. Its totient is φ = 34742400.

The previous prime is 104971297. The next prime is 104971303. The reversal of 104971300 is 3179401.

It is an interprime number because it is at equal distance from previous prime (104971297) and next prime (104971303).

It is a super-2 number, since 2×104971300² = 22037947647380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104971303) 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 23 ways as a sum of consecutive naturals, for example, 17715 + ... + 22885.

It is an arithmetic number, because the mean of its divisors is an integer number (3741080).

Almost surely, 2^104971300 is an apocalyptic number.

104971300 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 104971300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134678880).

104971300 is an abundant number, since it is smaller than the sum of its proper divisors (164386460).

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

104971300 is a wasteful number, since it uses less digits than its factorization.

104971300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 104971300 is about 10245.5502536467. The cubic root of 104971300 is about 471.7264106807.

The spelling of 104971300 in words is "one hundred four million, nine hundred seventy-one thousand, three hundred".