104965445376 has 180 divisors, whose sum is σ = 341442158904. Its totient is φ = 31807641600.

The previous prime is 104965445369. The next prime is 104965445399. The reversal of 104965445376 is 673544569401.

It is a happy number.

104965445376 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 65 + 44 + 537 + 6 = 666.

It is a super-2 number, since 2×104965445376² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1995 + ... + 458186.

Almost surely, 2^104965445376 is an apocalyptic number.

104965445376 is a gapful number since it is divisible by the number (16) 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 104965445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170721079452).

104965445376 is an abundant number, since it is smaller than the sum of its proper divisors (236476713528).

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

104965445376 is an equidigital number, since it uses as much as digits as its factorization.

104965445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460220 (or 460197 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 104965445376 in words is "one hundred four billion, nine hundred sixty-five million, four hundred forty-five thousand, three hundred seventy-six".