104540958720 has 1040 divisors, whose sum is σ = 434154191328. Its totient is φ = 23781703680.

The previous prime is 104540958689. The next prime is 104540958757. The reversal of 104540958720 is 27859045401.

104540958720 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 40 + 9 + 587 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310210392 + ... + 310210728.

Almost surely, 2^104540958720 is an apocalyptic number.

104540958720 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 104540958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217077095664).

104540958720 is an abundant number, since it is smaller than the sum of its proper divisors (329613232608).

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

104540958720 is a wasteful number, since it uses less digits than its factorization.

104540958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 104540958720 in words is "one hundred four billion, five hundred forty million, nine hundred fifty-eight thousand, seven hundred twenty".