101058109940304 has 320 divisors, whose sum is σ = 316985034516480. Its totient is φ = 30571414087680.

The previous prime is 101058109940299. The next prime is 101058109940321. The reversal of 101058109940304 is 403049901850101.

101058109940304 is a `hidden beast` number, since 10 + 10 + 581 + 0 + 9 + 9 + 40 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×101058109940304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101058109940304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7600061784 + ... + 7600075080.

It is an arithmetic number, because the mean of its divisors is an integer number (990578232864).

Almost surely, 2^{101058109940304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101058109940304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158492517258240).

101058109940304 is an abundant number, since it is smaller than the sum of its proper divisors (215926924576176).

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

101058109940304 is a wasteful number, since it uses less digits than its factorization.

101058109940304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 101058109940304 in words is "one hundred one trillion, fifty-eight billion, one hundred nine million, nine hundred forty thousand, three hundred four".