121664106 has 120 divisors (see below), whose sum is σ = 303526080. Its totient is φ = 36306144.

The previous prime is 121664047. The next prime is 121664113. The reversal of 121664106 is 601466121.

121664106 is a `hidden beast` number, since 1 + 2 + 16 + 641 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121664106.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2588575 + ... + 2588621.

It is an arithmetic number, because the mean of its divisors is an integer number (2529384).

Almost surely, 2^121664106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121664106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151763040).

121664106 is an abundant number, since it is smaller than the sum of its proper divisors (181861974).

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

121664106 is a wasteful number, since it uses less digits than its factorization.

121664106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121664106 is about 11030.1453299583. The cubic root of 121664106 is about 495.5119771679.

The spelling of 121664106 in words is "one hundred twenty-one million, six hundred sixty-four thousand, one hundred six".