105822153 has 16 divisors (see below), whose sum is σ = 165025600. Its totient is φ = 66834720.

The previous prime is 105822133. The next prime is 105822181. The reversal of 105822153 is 351228501.

It is a happy number.

105822153 is a `hidden beast` number, since 10 + 582 + 21 + 53 = 666.

It is not a de Polignac number, because 105822153 - 2¹⁸ = 105560009 is a prime.

It is a super-2 number, since 2×105822153² = 22396656131110818, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105822133) 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, 102628 + ... + 103653.

It is an arithmetic number, because the mean of its divisors is an integer number (10314100).

Almost surely, 2^105822153 is an apocalyptic number.

It is an amenable number.

105822153 is a deficient number, since it is larger than the sum of its proper divisors (59203447).

105822153 is a wasteful number, since it uses less digits than its factorization.

105822153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206309 (or 206303 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105822153 is about 10286.9895013070. The cubic root of 105822153 is about 472.9975207972.

The spelling of 105822153 in words is "one hundred five million, eight hundred twenty-two thousand, one hundred fifty-three".