109932480 has 504 divisors, whose sum is σ = 474299280. Its totient is φ = 23224320.

The previous prime is 109932469. The next prime is 109932491. The reversal of 109932480 is 84239901.

It is an interprime number because it is at equal distance from previous prime (109932469) and next prime (109932491).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2681260 + ... + 2681300.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^109932480 is an apocalyptic number.

109932480 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 109932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

109932480 is an abundant number, since it is smaller than the sum of its proper divisors (364366800).

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

109932480 is a wasteful number, since it uses less digits than its factorization.

109932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109932480 is about 10484.8690978953. The cubic root of 109932480 is about 479.0439302866.

The spelling of 109932480 in words is "one hundred nine million, nine hundred thirty-two thousand, four hundred eighty".