105949599001 has 27 divisors (see below), whose sum is σ = 115608129277. Its totient is φ = 97076821760.

The previous prime is 105949598999. The next prime is 105949599043. The reversal of 105949599001 is 100995949501.

It is a happy number.

The square root of 105949599001 is 325499.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7464096025 + 98485502976 = 86395^2 + 313824^2 .

It is not a de Polignac number, because 105949599001 - 2¹ = 105949598999 is a prime.

It is a super-2 number, since 2×105949599001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105949599001.

It is not an unprimeable number, because it can be changed into a prime (105949599071) 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, 226872570 + ... + 226873036.

Almost surely, 2^105949599001 is an apocalyptic number.

105949599001 is the 325499-th square number.

105949599001 is the 162750-th centered octagonal number.

It is an amenable number.

105949599001 is a deficient number, since it is larger than the sum of its proper divisors (9658530276).

105949599001 is an frugal number, since it uses more digits than its factorization.

105949599001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 52.

The spelling of 105949599001 in words is "one hundred five billion, nine hundred forty-nine million, five hundred ninety-nine thousand, one".