104659968 has 176 divisors, whose sum is σ = 331188224. Its totient is φ = 28753920.

The previous prime is 104659967. The next prime is 104659991. The reversal of 104659968 is 869956401.

It is a super-2 number, since 2×104659968² = 21907417803522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104659967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666546 + ... + 666702.

Almost surely, 2^104659968 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 104659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165594112).

104659968 is an abundant number, since it is smaller than the sum of its proper divisors (226528256).

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

104659968 is a wasteful number, since it uses less digits than its factorization.

104659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 104659968 is about 10230.3454487129. The cubic root of 104659968 is about 471.2595879725.

The spelling of 104659968 in words is "one hundred four million, six hundred fifty-nine thousand, nine hundred sixty-eight".