105385137 has 16 divisors (see below), whose sum is σ = 165079488. Its totient is φ = 58956480.

The previous prime is 105385127. The next prime is 105385207. The reversal of 105385137 is 731583501.

It is not a de Polignac number, because 105385137 - 2¹⁰ = 105384113 is a prime.

It is a super-2 number, since 2×105385137² = 22212054201017538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105385098 and 105385107.

It is not an unprimeable number, because it can be changed into a prime (105385127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122398 + ... + 123255.

It is an arithmetic number, because the mean of its divisors is an integer number (10317468).

Almost surely, 2^105385137 is an apocalyptic number.

It is an amenable number.

105385137 is a deficient number, since it is larger than the sum of its proper divisors (59694351).

105385137 is a wasteful number, since it uses less digits than its factorization.

105385137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245680.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105385137 is about 10265.7263259840. The cubic root of 105385137 is about 472.3455064460.

The spelling of 105385137 in words is "one hundred five million, three hundred eighty-five thousand, one hundred thirty-seven".