105867552 has 96 divisors (see below), whose sum is σ = 319358592. Its totient is φ = 30081024.

The previous prime is 105867529. The next prime is 105867557. The reversal of 105867552 is 255768501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105867552² = 22415877132945408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105867552.

It is not an unprimeable number, because it can be changed into a prime (105867557) 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, 172398 + ... + 173010.

It is an arithmetic number, because the mean of its divisors is an integer number (3326652).

Almost surely, 2^105867552 is an apocalyptic number.

105867552 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 105867552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159679296).

105867552 is an abundant number, since it is smaller than the sum of its proper divisors (213491040).

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

105867552 is a wasteful number, since it uses less digits than its factorization.

105867552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 105867552 is about 10289.1958869486. The cubic root of 105867552 is about 473.0651517035.

The spelling of 105867552 in words is "one hundred five million, eight hundred sixty-seven thousand, five hundred fifty-two".