105497621128701 has 28 divisors (see below), whose sum is σ = 159804734591292. Its totient is φ = 69606677811456.

The previous prime is 105497621128687. The next prime is 105497621128717. The reversal of 105497621128701 is 107821126794501.

105497621128701 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 7 + 621 + 1 + 2 + 8 + 7 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77350723345476 + 28146897783225 = 8794926^2 + 5305365^2 .

It is not a de Polignac number, because 105497621128701 - 2³⁴ = 105480441259517 is a prime.

It is a super-2 number, since 2×105497621128701² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105497621128741) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 745885626 + ... + 746027051.

It is an arithmetic number, because the mean of its divisors is an integer number (5707311949689).

Almost surely, 2^{105497621128701} is an apocalyptic number.

It is an amenable number.

105497621128701 is a deficient number, since it is larger than the sum of its proper divisors (54307113462591).

105497621128701 is an frugal number, since it uses more digits than its factorization.

105497621128701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491912792 (or 1491912777 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 105497621128701 in words is "one hundred five trillion, four hundred ninety-seven billion, six hundred twenty-one million, one hundred twenty-eight thousand, seven hundred one".