164101410 has 96 divisors (see below), whose sum is σ = 481098240. Its totient is φ = 39774240.

The previous prime is 164101397. The next prime is 164101433. The reversal of 164101410 is 14101461.

164101410 is a `hidden beast` number, since 1 + 641 + 0 + 14 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 30159 + ... + 35181.

It is an arithmetic number, because the mean of its divisors is an integer number (5011440).

Almost surely, 2^164101410 is an apocalyptic number.

164101410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240549120).

164101410 is an abundant number, since it is smaller than the sum of its proper divisors (316996830).

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

164101410 is a wasteful number, since it uses less digits than its factorization.

164101410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 164101410 is about 12810.2072582765. The cubic root of 164101410 is about 547.4831670561.

Adding to 164101410 its reverse (14101461), we get a palindrome (178202871).

The spelling of 164101410 in words is "one hundred sixty-four million, one hundred one thousand, four hundred ten".