105641537 has 2 divisors, whose sum is σ = 105641538. Its totient is φ = 105641536.

The previous prime is 105641531. The next prime is 105641551. The reversal of 105641537 is 735146501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65141041 + 40500496 = 8071^2 + 6364^2 .

It is an emirp because it is prime and its reverse (735146501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105641537 is a prime.

It is a super-2 number, since 2×105641537² = 22320268679444738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105641531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52820768 + 52820769.

It is an arithmetic number, because the mean of its divisors is an integer number (52820769).

Almost surely, 2^105641537 is an apocalyptic number.

It is an amenable number.

105641537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105641537 is an equidigital number, since it uses as much as digits as its factorization.

105641537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 105641537 is about 10278.2068961468. The cubic root of 105641537 is about 472.7282653590.

The spelling of 105641537 in words is "one hundred five million, six hundred forty-one thousand, five hundred thirty-seven".