105756672 has 96 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 30203904.

The previous prime is 105756659. The next prime is 105756713. The reversal of 105756672 is 276657501.

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

It is a super-2 number, since 2×105756672² = 22368947345031168, 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 105756672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41779 + ... + 44237.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2^105756672 is an apocalyptic number.

105756672 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 105756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

105756672 is an abundant number, since it is smaller than the sum of its proper divisors (216601728).

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

105756672 is an equidigital number, since it uses as much as digits as its factorization.

105756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 105756672 is about 10283.8062992260. The cubic root of 105756672 is about 472.8999396500.

The spelling of 105756672 in words is "one hundred five million, seven hundred fifty-six thousand, six hundred seventy-two".