109958940 has 288 divisors, whose sum is σ = 421948800. Its totient is φ = 23030784.

The previous prime is 109958921. The next prime is 109958957. The reversal of 109958940 is 49859901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802552 + ... + 802688.

It is an arithmetic number, because the mean of its divisors is an integer number (1465100).

Almost surely, 2^109958940 is an apocalyptic number.

109958940 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 109958940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210974400).

109958940 is an abundant number, since it is smaller than the sum of its proper divisors (311989860).

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

109958940 is a wasteful number, since it uses less digits than its factorization.

109958940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109958940 is about 10486.1308403052. The cubic root of 109958940 is about 479.0823614084.

The spelling of 109958940 in words is "one hundred nine million, nine hundred fifty-eight thousand, nine hundred forty".