164057914100 has 18 divisors (see below), whose sum is σ = 356005673814. Its totient is φ = 65623165600.

The previous prime is 164057914051. The next prime is 164057914109. The reversal of 164057914100 is 1419750461.

It is a happy number.

164057914100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 23946943504 + 140110970596 = 154748^2 + 374314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164057914109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820289471 + ... + 820289670.

Almost surely, 2^164057914100 is an apocalyptic number.

164057914100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164057914100 is an abundant number, since it is smaller than the sum of its proper divisors (191947759714).

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

164057914100 is a wasteful number, since it uses less digits than its factorization.

164057914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640579155 (or 1640579148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 164057914100 in words is "one hundred sixty-four billion, fifty-seven million, nine hundred fourteen thousand, one hundred".