109358976 has 128 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 34449408.

The previous prime is 109358969. The next prime is 109358983. The reversal of 109358976 is 679853901.

It is an interprime number because it is at equal distance from previous prime (109358969) and next prime (109358983).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 610855 + ... + 611033.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 2^109358976 is an apocalyptic number.

109358976 is a gapful number since it is divisible by the number (16) 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 109358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

109358976 is an abundant number, since it is smaller than the sum of its proper divisors (197620224).

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

109358976 is a wasteful number, since it uses less digits than its factorization.

109358976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 109358976 is about 10457.4842098853. The cubic root of 109358976 is about 478.2094400311.

The spelling of 109358976 in words is "one hundred nine million, three hundred fifty-eight thousand, nine hundred seventy-six".