105918353401 has 27 divisors (see below), whose sum is σ = 130090411269. Its totient is φ = 85973739768.

The previous prime is 105918353381. The next prime is 105918353407. The reversal of 105918353401 is 104353819501.

The square root of 105918353401 is 325451.

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

It is a de Polignac number, because none of the positive numbers 2^k-105918353401 is a prime.

It is a super-2 number, since 2×105918353401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105918353407) 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, 43283760 + ... + 43286206.

Almost surely, 2^105918353401 is an apocalyptic number.

105918353401 is the 325451-st square number.

105918353401 is the 162726-th centered octagonal number.

It is an amenable number.

105918353401 is a deficient number, since it is larger than the sum of its proper divisors (24172057868).

105918353401 is an frugal number, since it uses more digits than its factorization.

105918353401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 105918353401 in words is "one hundred five billion, nine hundred eighteen million, three hundred fifty-three thousand, four hundred one".