109966572 has 60 divisors (see below), whose sum is σ = 290521000. Its totient is φ = 36267264.

The previous prime is 109966567. The next prime is 109966601. The reversal of 109966572 is 275669901.

It is a happy number.

109966572 is a `hidden beast` number, since 10 + 9 + 9 + 66 + 572 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29679 + ... + 33177.

Almost surely, 2^109966572 is an apocalyptic number.

109966572 is a gapful number since it is divisible by the number (12) 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 109966572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145260500).

109966572 is an abundant number, since it is smaller than the sum of its proper divisors (180554428).

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

109966572 is a wasteful number, since it uses less digits than its factorization.

109966572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 109966572 is about 10486.4947432400. The cubic root of 109966572 is about 479.0934451577.

The spelling of 109966572 in words is "one hundred nine million, nine hundred sixty-six thousand, five hundred seventy-two".