100807533 has 12 divisors (see below), whose sum is σ = 145860988. Its totient is φ = 67089600.

The previous prime is 100807519. The next prime is 100807547. The reversal of 100807533 is 335708001.

It is an interprime number because it is at equal distance from previous prime (100807519) and next prime (100807547).

It can be written as a sum of positive squares in 2 ways, for example, as 32695524 + 68112009 = 5718^2 + 8253^2 .

It is not a de Polignac number, because 100807533 - 2⁴ = 100807517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100807497 and 100807506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100807583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3910 + ... + 14727.

Almost surely, 2^100807533 is an apocalyptic number.

It is an amenable number.

100807533 is a deficient number, since it is larger than the sum of its proper divisors (45053455).

100807533 is a wasteful number, since it uses less digits than its factorization.

100807533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19244 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100807533 is about 10040.2954637799. The cubic root of 100807533 is about 465.4049472822.

The spelling of 100807533 in words is "one hundred million, eight hundred seven thousand, five hundred thirty-three".