105748720 has 80 divisors (see below), whose sum is σ = 306551808. Its totient is φ = 32958720.

The previous prime is 105748711. The next prime is 105748751. The reversal of 105748720 is 27847501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105748720² = 22365583563276800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 14743.

Almost surely, 2^105748720 is an apocalyptic number.

105748720 is a gapful number since it is divisible by the number (10) 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 105748720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153275904).

105748720 is an abundant number, since it is smaller than the sum of its proper divisors (200803088).

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

105748720 is a wasteful number, since it uses less digits than its factorization.

105748720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17198 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 105748720 is about 10283.4196646835. The cubic root of 105748720 is about 472.8880866718. Note that the first 3 decimals are identical.

The spelling of 105748720 in words is "one hundred five million, seven hundred forty-eight thousand, seven hundred twenty".