105772821 has 24 divisors (see below), whose sum is σ = 178972704. Its totient is φ = 54946080.

The previous prime is 105772811. The next prime is 105772847. The reversal of 105772821 is 128277501.

It is not a de Polignac number, because 105772821 - 2¹⁴ = 105756437 is a prime.

It is a super-2 number, since 2×105772821² = 22375779324596082, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105772801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31090 + ... + 34323.

It is an arithmetic number, because the mean of its divisors is an integer number (7457196).

Almost surely, 2^105772821 is an apocalyptic number.

105772821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105772821 is a deficient number, since it is larger than the sum of its proper divisors (73199883).

105772821 is a wasteful number, since it uses less digits than its factorization.

105772821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65441 (or 65434 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 105772821 is about 10284.5914357353. The cubic root of 105772821 is about 472.9240089665.

The spelling of 105772821 in words is "one hundred five million, seven hundred seventy-two thousand, eight hundred twenty-one".