10800137 has 2 divisors, whose sum is σ = 10800138. Its totient is φ = 10800136.

The previous prime is 10800109. The next prime is 10800143. The reversal of 10800137 is 73100801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9369721 + 1430416 = 3061^2 + 1196^2 .

It is a cyclic number.

It is not a de Polignac number, because 10800137 - 2⁶ = 10800073 is a prime.

It is equal to p₇₁₄₁₆₁ and since 10800137 and 714161 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10800157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5400068 + 5400069.

It is an arithmetic number, because the mean of its divisors is an integer number (5400069).

Almost surely, 2^10800137 is an apocalyptic number.

It is an amenable number.

10800137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10800137 is an equidigital number, since it uses as much as digits as its factorization.

10800137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10800137 is about 3286.3561888511. The cubic root of 10800137 is about 221.0428245669.

Adding to 10800137 its reverse (73100801), we get a palindrome (83900938).

The spelling of 10800137 in words is "ten million, eight hundred thousand, one hundred thirty-seven".