164331531100 has 72 divisors (see below), whose sum is σ = 390531910608. Its totient is φ = 59524300800.

The previous prime is 164331531029. The next prime is 164331531103. The reversal of 164331531100 is 1135133461.

It is a super-2 number, since 2×164331531100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164331531103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7947 + ... + 573346.

It is an arithmetic number, because the mean of its divisors is an integer number (5424054314).

Almost surely, 2^164331531100 is an apocalyptic number.

164331531100 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 164331531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195265955304).

164331531100 is an abundant number, since it is smaller than the sum of its proper divisors (226200379508).

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

164331531100 is a wasteful number, since it uses less digits than its factorization.

164331531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581575 (or 581568 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 164331531100 its reverse (1135133461), we get a palindrome (165466664561).

It can be divided in two parts, 164 and 331531100, that added together give a square (331531264 = 18208²).

The spelling of 164331531100 in words is "one hundred sixty-four billion, three hundred thirty-one million, five hundred thirty-one thousand, one hundred".