109993820 has 48 divisors (see below), whose sum is σ = 242016768. Its totient is φ = 41912640.

The previous prime is 109993817. The next prime is 109993823. The reversal of 109993820 is 28399901.

It is an interprime number because it is at equal distance from previous prime (109993817) and next prime (109993823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109993823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223775 + ... + 224265.

It is an arithmetic number, because the mean of its divisors is an integer number (5042016).

Almost surely, 2^109993820 is an apocalyptic number.

109993820 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 109993820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121008384).

109993820 is an abundant number, since it is smaller than the sum of its proper divisors (132022948).

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

109993820 is a wasteful number, since it uses less digits than its factorization.

109993820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 109993820 is about 10487.7938576233. The cubic root of 109993820 is about 479.1330125156.

The spelling of 109993820 in words is "one hundred nine million, nine hundred ninety-three thousand, eight hundred twenty".