109292040 has 288 divisors, whose sum is σ = 422636760. Its totient is φ = 24330240.

The previous prime is 109292033. The next prime is 109292059. The reversal of 109292040 is 40292901.

It can be written as a sum of positive squares in 4 ways, for example, as 53670276 + 55621764 = 7326^2 + 7458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 109291995 and 109292013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566184 + ... + 566376.

Almost surely, 2^109292040 is an apocalyptic number.

109292040 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 109292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211318380).

109292040 is an abundant number, since it is smaller than the sum of its proper divisors (313344720).

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

109292040 is a wasteful number, since it uses less digits than its factorization.

109292040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109292040 is about 10454.2833326824. The cubic root of 109292040 is about 478.1118532845. Note that the first 3 decimals are identical.

The spelling of 109292040 in words is "one hundred nine million, two hundred ninety-two thousand, forty".