109251840 has 144 divisors (see below), whose sum is σ = 364387968. Its totient is φ = 27844608.

The previous prime is 109251827. The next prime is 109251841. The reversal of 109251840 is 48152901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 109251798 and 109251807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109251841) 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, 87702 + ... + 88938.

It is an arithmetic number, because the mean of its divisors is an integer number (2530472).

Almost surely, 2^109251840 is an apocalyptic number.

109251840 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 109251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182193984).

109251840 is an abundant number, since it is smaller than the sum of its proper divisors (255136128).

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

109251840 is a wasteful number, since it uses less digits than its factorization.

109251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 109251840 is about 10452.3604989495. The cubic root of 109251840 is about 478.0532261009.

The spelling of 109251840 in words is "one hundred nine million, two hundred fifty-one thousand, eight hundred forty".