100523993 has 4 divisors (see below), whose sum is σ = 101901108. Its totient is φ = 99146880.

The previous prime is 100523977. The next prime is 100524013. The reversal of 100523993 is 399325001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399325001 = 173 ⋅2308237.

It can be written as a sum of positive squares in 2 ways, for example, as 65157184 + 35366809 = 8072^2 + 5947^2 .

It is a cyclic number.

It is not a de Polignac number, because 100523993 - 2⁴ = 100523977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100523963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688448 + ... + 688593.

It is an arithmetic number, because the mean of its divisors is an integer number (25475277).

Almost surely, 2^100523993 is an apocalyptic number.

It is an amenable number.

100523993 is a deficient number, since it is larger than the sum of its proper divisors (1377115).

100523993 is an equidigital number, since it uses as much as digits as its factorization.

100523993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377114.

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 100523993 is about 10026.1654185436. The cubic root of 100523993 is about 464.9681914496.

Adding to 100523993 its reverse (399325001), we get a palindrome (499848994).

The spelling of 100523993 in words is "one hundred million, five hundred twenty-three thousand, nine hundred ninety-three".