101086353 has 16 divisors (see below), whose sum is σ = 150096960. Its totient is φ = 67238208.

The previous prime is 101086343. The next prime is 101086393. The reversal of 101086353 is 353680101.

101086353 is a `hidden beast` number, since 10 + 10 + 8 + 635 + 3 = 666.

It is not a de Polignac number, because 101086353 - 2⁹ = 101085841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101086313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8601 + ... + 16617.

It is an arithmetic number, because the mean of its divisors is an integer number (9381060).

Almost surely, 2^101086353 is an apocalyptic number.

It is an amenable number.

101086353 is a deficient number, since it is larger than the sum of its proper divisors (49010607).

101086353 is an equidigital number, since it uses as much as digits as its factorization.

101086353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101086353 is about 10054.1709255413. The cubic root of 101086353 is about 465.8336346706.

It can be divided in two parts, 10108 and 6353, that added together give a palindrome (16461).

The spelling of 101086353 in words is "one hundred one million, eighty-six thousand, three hundred fifty-three".