105758311260996 has 135 divisors (see below), whose sum is σ = 277525740664557. Its totient is φ = 35119059334560.

The previous prime is 105758311260913. The next prime is 105758311261061. The reversal of 105758311260996 is 699062113857501.

The square root of 105758311260996 is 10283886.

It is a perfect power (a square), and thus also a powerful number.

105758311260996 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 8 + 3 + 1 + 12 + 609 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113626971396 + 105644684289600 = 337086^2 + 10278360^2 .

It is a super-2 number, since 2×105758311260996² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56828753106 + ... + 56828754966.

Almost surely, 2^{105758311260996} is an apocalyptic number.

105758311260996 is the 10283886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105758311260996

105758311260996 is an abundant number, since it is smaller than the sum of its proper divisors (171767429403561).

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

105758311260996 is an frugal number, since it uses more digits than its factorization.

105758311260996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 105758311260996 in words is "one hundred five trillion, seven hundred fifty-eight billion, three hundred eleven million, two hundred sixty thousand, nine hundred ninety-six".