10800031 has 8 divisors (see below), whose sum is σ = 11899728. Its totient is φ = 9720000.

The previous prime is 10800017. The next prime is 10800071. The reversal of 10800031 is 13000801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(10800031) divides (10800031-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 10800031 - 2¹⁹ = 10275743 is a prime.

It is a super-2 number, since 2×10800031² = 233281339201922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10799984 and 10800020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3750 + ... + 5971.

It is an arithmetic number, because the mean of its divisors is an integer number (1487466).

Almost surely, 2^10800031 is an apocalyptic number.

10800031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10800031 is a deficient number, since it is larger than the sum of its proper divisors (1099697).

10800031 is a wasteful number, since it uses less digits than its factorization.

10800031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10800031 is about 3286.3400615274. The cubic root of 10800031 is about 221.0421014089.

Adding to 10800031 its reverse (13000801), we get a palindrome (23800832).

The spelling of 10800031 in words is "ten million, eight hundred thousand, thirty-one".