105873740 has 72 divisors (see below), whose sum is σ = 260779680. Its totient is φ = 35368704.

The previous prime is 105873731. The next prime is 105873743. The reversal of 105873740 is 47378501.

It is a super-2 number, since 2×105873740² = 22418497643175200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105873740.

It is not an unprimeable number, because it can be changed into a prime (105873743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258656 + ... + 259064.

It is an arithmetic number, because the mean of its divisors is an integer number (3621940).

Almost surely, 2^105873740 is an apocalyptic number.

105873740 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 105873740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130389840).

105873740 is an abundant number, since it is smaller than the sum of its proper divisors (154905940).

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

105873740 is a wasteful number, since it uses less digits than its factorization.

105873740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 105873740 is about 10289.4965863253. The cubic root of 105873740 is about 473.0743684719.

The spelling of 105873740 in words is "one hundred five million, eight hundred seventy-three thousand, seven hundred forty".