105922572 has 48 divisors (see below), whose sum is σ = 284712960. Its totient is φ = 30022272.

The previous prime is 105922571. The next prime is 105922573. The reversal of 105922572 is 275229501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105922571) and next prime (105922573).

It is a super-2 number, since 2×105922572² = 22439182518190368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105922571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5704 + ... + 15632.

It is an arithmetic number, because the mean of its divisors is an integer number (5931520).

Almost surely, 2^105922572 is an apocalyptic number.

105922572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105922572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142356480).

105922572 is an abundant number, since it is smaller than the sum of its proper divisors (178790388).

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

105922572 is a wasteful number, since it uses less digits than its factorization.

105922572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105922572 is about 10291.8692179798. The cubic root of 105922572 is about 473.1470891070.

The spelling of 105922572 in words is "one hundred five million, nine hundred twenty-two thousand, five hundred seventy-two".