100853993 has 4 divisors (see below), whose sum is σ = 100877700. Its totient is φ = 100830288.

The previous prime is 100853981. The next prime is 100854001. The reversal of 100853993 is 399358001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399358001 = 7 ⋅57051143.

It can be written as a sum of positive squares in 2 ways, for example, as 66373609 + 34480384 = 8147^2 + 5872^2 .

It is a cyclic number.

It is not a de Polignac number, because 100853993 - 2⁸ = 100853737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100853903) 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, 3518 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (25219425).

Almost surely, 2^100853993 is an apocalyptic number.

It is an amenable number.

100853993 is a deficient number, since it is larger than the sum of its proper divisors (23707).

100853993 is an equidigital number, since it uses as much as digits as its factorization.

100853993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23706.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 100853993 is about 10042.6088741920. The cubic root of 100853993 is about 465.4764346412.

The spelling of 100853993 in words is "one hundred million, eight hundred fifty-three thousand, nine hundred ninety-three".