100365093 has 24 divisors (see below), whose sum is σ = 156408408. Its totient is φ = 61780992.

The previous prime is 100365091. The next prime is 100365107. The reversal of 100365093 is 390563001.

100365093 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 650 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17791524 + 82573569 = 4218^2 + 9087^2 .

It is not a de Polignac number, because 100365093 - 2¹ = 100365091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100365091) 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 23 ways as a sum of consecutive naturals, for example, 1921 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (6517017).

Almost surely, 2^100365093 is an apocalyptic number.

It is an amenable number.

100365093 is a deficient number, since it is larger than the sum of its proper divisors (56043315).

100365093 is a wasteful number, since it uses less digits than its factorization.

100365093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 100365093 is about 10018.2380187336. The cubic root of 100365093 is about 464.7230678486.

It can be divided in two parts, 10036 and 5093, that added together give a square (15129 = 123²).

The spelling of 100365093 in words is "one hundred million, three hundred sixty-five thousand, ninety-three".