105878745 has 96 divisors (see below), whose sum is σ = 222243840. Its totient is φ = 47355840.

The previous prime is 105878743. The next prime is 105878753. The reversal of 105878745 is 547878501.

It is a happy number.

It is not a de Polignac number, because 105878745 - 2¹ = 105878743 is a prime.

It is a super-2 number, since 2×105878745² = 22420617285550050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105878745.

It is not an unprimeable number, because it can be changed into a prime (105878741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501690 + ... + 501900.

It is an arithmetic number, because the mean of its divisors is an integer number (2315040).

Almost surely, 2^105878745 is an apocalyptic number.

105878745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105878745 is an abundant number, since it is smaller than the sum of its proper divisors (116365095).

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

105878745 is an equidigital number, since it uses as much as digits as its factorization.

105878745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 105878745 is about 10289.7397926284. The cubic root of 105878745 is about 473.0818229484.

The spelling of 105878745 in words is "one hundred five million, eight hundred seventy-eight thousand, seven hundred forty-five".