105004145701 has 24 divisors (see below), whose sum is σ = 139281531480. Its totient is φ = 78193124352.

The previous prime is 105004145693. The next prime is 105004145731. The reversal of 105004145701 is 107541400501.

It can be written as a sum of positive squares in 4 ways, for example, as 19974168900 + 85029976801 = 141330^2 + 291599^2 .

It is not a de Polignac number, because 105004145701 - 2³ = 105004145693 is a prime.

It is a super-2 number, since 2×105004145701² (a number of 23 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 105004145701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004145731) 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 23 ways as a sum of consecutive naturals, for example, 4837456 + ... + 4859113.

It is an arithmetic number, because the mean of its divisors is an integer number (5803397145).

Almost surely, 2^105004145701 is an apocalyptic number.

It is an amenable number.

105004145701 is a deficient number, since it is larger than the sum of its proper divisors (34277385779).

105004145701 is a wasteful number, since it uses less digits than its factorization.

105004145701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696613 (or 9696606 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 105004145701 in words is "one hundred five billion, four million, one hundred forty-five thousand, seven hundred one".