105297840 has 240 divisors, whose sum is σ = 384573600. Its totient is φ = 26449920.

The previous prime is 105297839. The next prime is 105297851. The reversal of 105297840 is 48792501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105297840² = 22175270217331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105297795 and 105297804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568220 + ... + 2568260.

It is an arithmetic number, because the mean of its divisors is an integer number (1602390).

Almost surely, 2^105297840 is an apocalyptic number.

105297840 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 105297840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192286800).

105297840 is an abundant number, since it is smaller than the sum of its proper divisors (279275760).

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

105297840 is a wasteful number, since it uses less digits than its factorization.

105297840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105297840 is about 10261.4735783902. The cubic root of 105297840 is about 472.2150461244.

The spelling of 105297840 in words is "one hundred five million, two hundred ninety-seven thousand, eight hundred forty".