105513157 has 2 divisors, whose sum is σ = 105513158. Its totient is φ = 105513156.

The previous prime is 105513139. The next prime is 105513193. The reversal of 105513157 is 751315501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102131236 + 3381921 = 10106^2 + 1839^2 .

It is an emirp because it is prime and its reverse (751315501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105513157 is a prime.

It is a super-2 number, since 2×105513157² = 22266052600213298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105513127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756578 + 52756579.

It is an arithmetic number, because the mean of its divisors is an integer number (52756579).

Almost surely, 2^105513157 is an apocalyptic number.

It is an amenable number.

105513157 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513157 is an equidigital number, since it uses as much as digits as its factorization.

105513157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2625, while the sum is 28.

The square root of 105513157 is about 10271.9597448588. The cubic root of 105513157 is about 472.5366947044.

Adding to 105513157 its reverse (751315501), we get a palindrome (856828658).

The spelling of 105513157 in words is "one hundred five million, five hundred thirteen thousand, one hundred fifty-seven".