104921314740 has 384 divisors, whose sum is σ = 386942976000. Its totient is φ = 23318668800.

The previous prime is 104921314717. The next prime is 104921314801. The reversal of 104921314740 is 47413129401.

104921314740 is a `hidden beast` number, since 10 + 49 + 2 + 131 + 474 + 0 = 666.

It is a super-2 number, since 2×104921314740² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104921314695 and 104921314704.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3483666 + ... + 3513654.

It is an arithmetic number, because the mean of its divisors is an integer number (1007664000).

Almost surely, 2^104921314740 is an apocalyptic number.

104921314740 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 104921314740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193471488000).

104921314740 is an abundant number, since it is smaller than the sum of its proper divisors (282021661260).

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

104921314740 is a wasteful number, since it uses less digits than its factorization.

104921314740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30068 (or 30060 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104921314740 in words is "one hundred four billion, nine hundred twenty-one million, three hundred fourteen thousand, seven hundred forty".