100414051065 has 24 divisors (see below), whose sum is σ = 180052783560. Its totient is φ = 51707464704.

The previous prime is 100414051063. The next prime is 100414051097. The reversal of 100414051065 is 560150414001.

100414051065 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 140 + 510 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5379342336 + 95034708729 = 73344^2 + 308277^2 .

It is not a de Polignac number, because 100414051065 - 2¹ = 100414051063 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100414051063) 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 23 ways as a sum of consecutive naturals, for example, 38471512 + ... + 38474121.

It is an arithmetic number, because the mean of its divisors is an integer number (7502199315).

Almost surely, 2^100414051065 is an apocalyptic number.

100414051065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100414051065 is a deficient number, since it is larger than the sum of its proper divisors (79638732495).

100414051065 is a wasteful number, since it uses less digits than its factorization.

100414051065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76945673 (or 76945670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100414051065 its reverse (560150414001), we get a palindrome (660564465066).

The spelling of 100414051065 in words is "one hundred billion, four hundred fourteen million, fifty-one thousand, sixty-five".