105153337 has 2 divisors, whose sum is σ = 105153338. Its totient is φ = 105153336.

The previous prime is 105153311. The next prime is 105153341. The reversal of 105153337 is 733351501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 27994681 = 8784^2 + 5291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105153337 is a prime.

It is a super-2 number, since 2×105153337² = 22114448564471138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105153137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576668 + 52576669.

It is an arithmetic number, because the mean of its divisors is an integer number (52576669).

Almost surely, 2^105153337 is an apocalyptic number.

It is an amenable number.

105153337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105153337 is an equidigital number, since it uses as much as digits as its factorization.

105153337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 105153337 is about 10254.4301158085. The cubic root of 105153337 is about 471.9989361869.

The spelling of 105153337 in words is "one hundred five million, one hundred fifty-three thousand, three hundred thirty-seven".