112906240 has 104 divisors (see below), whose sum is σ = 280132200. Its totient is φ = 43646976.

The previous prime is 112906237. The next prime is 112906243. The reversal of 112906240 is 42609211.

It is an interprime number because it is at equal distance from previous prime (112906237) and next prime (112906243).

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 100962304 = 3456^2 + 10048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112906243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757686 + ... + 757834.

Almost surely, 2^112906240 is an apocalyptic number.

112906240 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 112906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140066100).

112906240 is an abundant number, since it is smaller than the sum of its proper divisors (167225960).

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

112906240 is an equidigital number, since it uses as much as digits as its factorization.

112906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 112906240 is about 10625.7347981210. The cubic root of 112906240 is about 483.3250615575.

The spelling of 112906240 in words is "one hundred twelve million, nine hundred six thousand, two hundred forty".