105065337501 has 12 divisors (see below), whose sum is σ = 152190965628. Its totient is φ = 69845132544.

The previous prime is 105065337497. The next prime is 105065337581. The reversal of 105065337501 is 105733560501.

105065337501 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 533 + 75 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36067707225 + 68997630276 = 189915^2 + 262674^2 .

It is not a de Polignac number, because 105065337501 - 2² = 105065337497 is a prime.

It is a super-2 number, since 2×105065337501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065337581) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16532130 + ... + 16538483.

It is an arithmetic number, because the mean of its divisors is an integer number (12682580469).

Almost surely, 2^105065337501 is an apocalyptic number.

It is an amenable number.

105065337501 is a deficient number, since it is larger than the sum of its proper divisors (47125628127).

105065337501 is a wasteful number, since it uses less digits than its factorization.

105065337501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33070972 (or 33070969 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 105065337501 in words is "one hundred five billion, sixty-five million, three hundred thirty-seven thousand, five hundred one".