105366510451 has 16 divisors (see below), whose sum is σ = 107980560864. Its totient is φ = 102776454144.

The previous prime is 105366510437. The next prime is 105366510461. The reversal of 105366510451 is 154015663501.

It is a cyclic number.

It is not a de Polignac number, because 105366510451 - 2²⁹ = 104829639539 is a prime.

It is a super-2 number, since 2×105366510451² (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 105366510451.

It is not an unprimeable number, because it can be changed into a prime (105366510461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17986915 + ... + 17992771.

It is an arithmetic number, because the mean of its divisors is an integer number (6748785054).

Almost surely, 2^105366510451 is an apocalyptic number.

105366510451 is a deficient number, since it is larger than the sum of its proper divisors (2614050413).

105366510451 is a wasteful number, since it uses less digits than its factorization.

105366510451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 105366510451 in words is "one hundred five billion, three hundred sixty-six million, five hundred ten thousand, four hundred fifty-one".