109733130 has 160 divisors (see below), whose sum is σ = 336997584. Its totient is φ = 25380864.

The previous prime is 109733077. The next prime is 109733131. The reversal of 109733130 is 31337901.

It can be written as a sum of positive squares in 8 ways, for example, as 9753129 + 99980001 = 3123^2 + 9999^2 .

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 = 109733094 and 109733103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109733131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178704 + ... + 179316.

Almost surely, 2^109733130 is an apocalyptic number.

109733130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109733130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168498792).

109733130 is an abundant number, since it is smaller than the sum of its proper divisors (227264454).

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

109733130 is a wasteful number, since it uses less digits than its factorization.

109733130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 109733130 is about 10475.3582277648. The cubic root of 109733130 is about 478.7541912569.

The spelling of 109733130 in words is "one hundred nine million, seven hundred thirty-three thousand, one hundred thirty".