109823058 has 48 divisors (see below), whose sum is σ = 250263000. Its totient is φ = 34755840.

The previous prime is 109823053. The next prime is 109823069. The reversal of 109823058 is 850328901.

It can be written as a sum of positive squares in 4 ways, for example, as 28227969 + 81595089 = 5313^2 + 9033^2 .

It is a super-3 number, since 3×109823058³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109823053) 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, 30118 + ... + 33566.

Almost surely, 2^109823058 is an apocalyptic number.

109823058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109823058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125131500).

109823058 is an abundant number, since it is smaller than the sum of its proper divisors (140439942).

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

109823058 is a wasteful number, since it uses less digits than its factorization.

109823058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 109823058 is about 10479.6497078862. The cubic root of 109823058 is about 478.8849377060.

The spelling of 109823058 in words is "one hundred nine million, eight hundred twenty-three thousand, fifty-eight".