105923772 has 18 divisors (see below), whose sum is σ = 267751848. Its totient is φ = 35307912.

The previous prime is 105923771. The next prime is 105923773. The reversal of 105923772 is 277329501.

It is an interprime number because it is at equal distance from previous prime (105923771) and next prime (105923773).

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105923772² = 22439690949415968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2942327 = 105923772 / (1 + 0 + 5 + 9 + 2 + 3 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105923771) 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 5 ways as a sum of consecutive naturals, for example, 1471128 + ... + 1471199.

Almost surely, 2^105923772 is an apocalyptic number.

105923772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105923772 is an abundant number, since it is smaller than the sum of its proper divisors (161828076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105923772 is a wasteful number, since it uses less digits than its factorization.

105923772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942337 (or 2942332 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 105923772 is about 10291.9275162624. The cubic root of 105923772 is about 473.1488758661.

The spelling of 105923772 in words is "one hundred five million, nine hundred twenty-three thousand, seven hundred seventy-two".