109010201664 has 448 divisors, whose sum is σ = 362115274752. Its totient is φ = 28178841600.

The previous prime is 109010201653. The next prime is 109010201681. The reversal of 109010201664 is 466102010901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222016459 + ... + 222016949.

It is an arithmetic number, because the mean of its divisors is an integer number (808293024).

Almost surely, 2^109010201664 is an apocalyptic number.

109010201664 is a gapful number since it is divisible by the number (14) 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 109010201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181057637376).

109010201664 is an abundant number, since it is smaller than the sum of its proper divisors (253105073088).

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

109010201664 is a wasteful number, since it uses less digits than its factorization.

109010201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 109010201664 in words is "one hundred nine billion, ten million, two hundred one thousand, six hundred sixty-four".