105104991601 has 3 divisors (see below), whose sum is σ = 105105315801. Its totient is φ = 105104667402.

The previous prime is 105104991557. The next prime is 105104991619. The reversal of 105104991601 is 106199401501.

The square root of 105104991601 is 324199.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106199401501 = 1747 ⋅60789583.

It is not a de Polignac number, because 105104991601 - 2⁷ = 105104991473 is a prime.

It is a super-2 number, since 2×105104991601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105104991701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162100 + ... + 486298.

It is an arithmetic number, because the mean of its divisors is an integer number (35035105267).

Almost surely, 2^105104991601 is an apocalyptic number.

105104991601 is the 324199-th square number.

105104991601 is the 162100-th centered octagonal number.

It is an amenable number.

105104991601 is a deficient number, since it is larger than the sum of its proper divisors (324200).

105104991601 is an frugal number, since it uses more digits than its factorization.

105104991601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648398 (or 324199 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 105104991601 in words is "one hundred five billion, one hundred four million, nine hundred ninety-one thousand, six hundred one".