105991163630401 has 27 divisors (see below), whose sum is σ = 124883014078179. Its totient is φ = 89694756129888.

The previous prime is 105991163630369. The next prime is 105991163630449. The reversal of 105991163630401 is 104036361199501.

The square root of 105991163630401 is 10295201.

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

It can be written as a sum of positive squares in only one way, i.e., 103253541890625 + 2737621739776 = 10161375^2 + 1654576^2 .

It is not a de Polignac number, because 105991163630401 - 2⁵ = 105991163630369 is a prime.

It is a super-2 number, since 2×105991163630401² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (105991163630501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5693236845 + ... + 5693255461.

Almost surely, 2^{105991163630401} is an apocalyptic number.

105991163630401 is the 10295201-st square number.

105991163630401 is the 5147601-st centered octagonal number.

It is an amenable number.

105991163630401 is a deficient number, since it is larger than the sum of its proper divisors (18891850447778).

105991163630401 is an frugal number, since it uses more digits than its factorization.

105991163630401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37406 (or 18703 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

105991163630401 divided by its sum of digits (49) gives a square (2163084972049 = 1470743²).

The spelling of 105991163630401 in words is "one hundred five trillion, nine hundred ninety-one billion, one hundred sixty-three million, six hundred thirty thousand, four hundred one".