109982070 has 128 divisors (see below), whose sum is σ = 336960000. Its totient is φ = 25246080.

The previous prime is 109982029. The next prime is 109982071. The reversal of 109982070 is 70289901.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109982071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55456 + ... + 57404.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 2^109982070 is an apocalyptic number.

109982070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109982070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

109982070 is an abundant number, since it is smaller than the sum of its proper divisors (226977930).

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

109982070 is a wasteful number, since it uses less digits than its factorization.

109982070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109982070 is about 10487.2336676552. The cubic root of 109982070 is about 479.1159509104.

The spelling of 109982070 in words is "one hundred nine million, nine hundred eighty-two thousand, seventy".