101105361 has 16 divisors (see below), whose sum is σ = 171184000. Its totient is φ = 57774384.

The previous prime is 101105359. The next prime is 101105383. The reversal of 101105361 is 163501101.

It is not a de Polignac number, because 101105361 - 2¹ = 101105359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101105351) 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, 267286 + ... + 267663.

It is an arithmetic number, because the mean of its divisors is an integer number (10699000).

Almost surely, 2^101105361 is an apocalyptic number.

It is an amenable number.

101105361 is a deficient number, since it is larger than the sum of its proper divisors (70078639).

101105361 is an equidigital number, since it uses as much as digits as its factorization.

101105361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534965 (or 534959 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101105361 is about 10055.1161604429. The cubic root of 101105361 is about 465.8628308661.

Adding to 101105361 its reverse (163501101), we get a palindrome (264606462).

The spelling of 101105361 in words is "one hundred one million, one hundred five thousand, three hundred sixty-one".