104008968 has 192 divisors, whose sum is σ = 348019200. Its totient is φ = 28667520.

The previous prime is 104008963. The next prime is 104008969. The reversal of 104008968 is 869800401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (104008963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327946 + ... + 328262.

It is an arithmetic number, because the mean of its divisors is an integer number (1812600).

Almost surely, 2^104008968 is an apocalyptic number.

104008968 is a gapful number since it is divisible by the number (18) 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 104008968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174009600).

104008968 is an abundant number, since it is smaller than the sum of its proper divisors (244010232).

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

104008968 is a wasteful number, since it uses less digits than its factorization.

104008968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 104008968 is about 10198.4787100822. The cubic root of 104008968 is about 470.2804543156.

It can be divided in two parts, 104008 and 968, that added together give a 4-th power (104976 = 18⁴).

The spelling of 104008968 in words is "one hundred four million, eight thousand, nine hundred sixty-eight".