105514040415 has 32 divisors (see below), whose sum is σ = 192978777600. Its totient is φ = 48225285504.

The previous prime is 105514040407. The next prime is 105514040419. The reversal of 105514040415 is 514040415501.

It is not a de Polignac number, because 105514040415 - 2³ = 105514040407 is a prime.

It is a super-2 number, since 2×105514040415² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105514040419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436857 + ... + 633933.

It is an arithmetic number, because the mean of its divisors is an integer number (6030586800).

Almost surely, 2^105514040415 is an apocalyptic number.

105514040415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105514040415 is a deficient number, since it is larger than the sum of its proper divisors (87464737185).

105514040415 is a wasteful number, since it uses less digits than its factorization.

105514040415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202191.

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 105514040415 its reverse (514040415501), we get a palindrome (619554455916).

The spelling of 105514040415 in words is "one hundred five billion, five hundred fourteen million, forty thousand, four hundred fifteen".