105785153 has 2 divisors, whose sum is σ = 105785154. Its totient is φ = 105785152.

The previous prime is 105785149. The next prime is 105785213. The reversal of 105785153 is 351587501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98565184 + 7219969 = 9928^2 + 2687^2 .

It is an emirp because it is prime and its reverse (351587501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105785153 - 2² = 105785149 is a prime.

It is a super-2 number, since 2×105785153² = 22380997190466818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105785123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52892576 + 52892577.

It is an arithmetic number, because the mean of its divisors is an integer number (52892577).

Almost surely, 2^105785153 is an apocalyptic number.

It is an amenable number.

105785153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105785153 is an equidigital number, since it uses as much as digits as its factorization.

105785153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 35.

The square root of 105785153 is about 10285.1909559327. The cubic root of 105785153 is about 472.9423875764.

The spelling of 105785153 in words is "one hundred five million, seven hundred eighty-five thousand, one hundred fifty-three".