109823040 has 280 divisors, whose sum is σ = 413064960. Its totient is φ = 27620352.

The previous prime is 109823033. The next prime is 109823047. The reversal of 109823040 is 40328901.

It is an interprime number because it is at equal distance from previous prime (109823033) and next prime (109823047).

It is a super-2 number, since 2×109823040² = 24122200229683200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 109822995 and 109823013.

It is not an unprimeable number, because it can be changed into a prime (109823047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492369 + ... + 492591.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2^109823040 is an apocalyptic number.

109823040 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 109823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532480).

109823040 is an abundant number, since it is smaller than the sum of its proper divisors (303241920).

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

109823040 is a wasteful number, since it uses less digits than its factorization.

109823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 109823040 is about 10479.6488490789. The cubic root of 109823040 is about 478.8849115429.

The spelling of 109823040 in words is "one hundred nine million, eight hundred twenty-three thousand, forty".