104106739968 has 576 divisors, whose sum is σ = 392840448000. Its totient is φ = 26406051840.

The previous prime is 104106739967. The next prime is 104106739999. The reversal of 104106739968 is 869937601401.

104106739968 is a `hidden beast` number, since 10 + 410 + 6 + 73 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×104106739968³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104106739967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22883358 + ... + 22887906.

Almost surely, 2^104106739968 is an apocalyptic number.

104106739968 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 104106739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420224000).

104106739968 is an abundant number, since it is smaller than the sum of its proper divisors (288733708032).

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

104106739968 is a wasteful number, since it uses less digits than its factorization.

104106739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 104106739968 in words is "one hundred four billion, one hundred six million, seven hundred thirty-nine thousand, nine hundred sixty-eight".