105400366251 has 16 divisors (see below), whose sum is σ = 140846974464. Its totient is φ = 70110421344.

The previous prime is 105400366249. The next prime is 105400366289. The reversal of 105400366251 is 152663004501.

It is not a de Polignac number, because 105400366251 - 2¹ = 105400366249 is a prime.

It is a super-2 number, since 2×105400366251² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105400366241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6074350 + ... + 6091676.

It is an arithmetic number, because the mean of its divisors is an integer number (8802935904).

Almost surely, 2^105400366251 is an apocalyptic number.

105400366251 is a deficient number, since it is larger than the sum of its proper divisors (35446608213).

105400366251 is a wasteful number, since it uses less digits than its factorization.

105400366251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21730.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 105400366251 in words is "one hundred five billion, four hundred million, three hundred sixty-six thousand, two hundred fifty-one".