164410346007100 has 144 divisors (see below), whose sum is σ = 366590282157792. Its totient is φ = 63983202877440.

The previous prime is 164410346007043. The next prime is 164410346007113. The reversal of 164410346007100 is 1700643014461.

It is a super-3 number, since 3×164410346007100³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164410346007100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180371692 + ... + 181280908.

It is an arithmetic number, because the mean of its divisors is an integer number (2545765848318).

Almost surely, 2^{164410346007100} is an apocalyptic number.

164410346007100 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 164410346007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183295141078896).

164410346007100 is an abundant number, since it is smaller than the sum of its proper divisors (202179936150692).

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

164410346007100 is a wasteful number, since it uses less digits than its factorization.

164410346007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909632 (or 909625 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 164410346007100 in words is "one hundred sixty-four trillion, four hundred ten billion, three hundred forty-six million, seven thousand, one hundred".