105921950001921 has 27 divisors (see below), whose sum is σ = 158457441994761. Its totient is φ = 68179069635264.

The previous prime is 105921950001893. The next prime is 105921950001941. The reversal of 105921950001921 is 129100059129501.

The square root of 105921950001921 is 10291839.

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

105921950001921 is a `hidden beast` number, since 1 + 0 + 59 + 2 + 1 + 9 + 500 + 0 + 1 + 92 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34634931671025 + 71287018330896 = 5885145^2 + 8443164^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105921950001921 is a prime.

It is a super-2 number, since 2×105921950001921² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105921950001941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 895330845 + ... + 895449141.

Almost surely, 2^{105921950001921} is an apocalyptic number.

105921950001921 is the 10291839-th square number.

105921950001921 is the 5145920-th centered octagonal number.

It is an amenable number.

105921950001921 is a deficient number, since it is larger than the sum of its proper divisors (52535491992840).

105921950001921 is an frugal number, since it uses more digits than its factorization.

105921950001921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236658 (or 118329 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 45.

The spelling of 105921950001921 in words is "one hundred five trillion, nine hundred twenty-one billion, nine hundred fifty million, one thousand, nine hundred twenty-one".