104945074920 has 192 divisors, whose sum is σ = 389942691840. Its totient is φ = 23978419200.

The previous prime is 104945074879. The next prime is 104945074931. The reversal of 104945074920 is 29470549401.

104945074920 is a `hidden beast` number, since 1 + 0 + 49 + 450 + 74 + 92 + 0 = 666.

It is a super-2 number, since 2×104945074920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8539180 + ... + 8551460.

It is an arithmetic number, because the mean of its divisors is an integer number (2030951520).

Almost surely, 2^104945074920 is an apocalyptic number.

104945074920 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 104945074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194971345920).

104945074920 is an abundant number, since it is smaller than the sum of its proper divisors (284997616920).

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

104945074920 is a wasteful number, since it uses less digits than its factorization.

104945074920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 104945074920 in words is "one hundred four billion, nine hundred forty-five million, seventy-four thousand, nine hundred twenty".