106321171200 has 432 divisors, whose sum is σ = 367312490496. Its totient is φ = 27050803200.

The previous prime is 106321171199. The next prime is 106321171219. The reversal of 106321171200 is 2171123601.

It is a super-2 number, since 2×106321171200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43448377 + ... + 43450823.

Almost surely, 2^106321171200 is an apocalyptic number.

106321171200 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 106321171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183656245248).

106321171200 is an abundant number, since it is smaller than the sum of its proper divisors (260991319296).

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

106321171200 is a wasteful number, since it uses less digits than its factorization.

106321171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 106321171200 its reverse (2171123601), we get a palindrome (108492294801).

The spelling of 106321171200 in words is "one hundred six billion, three hundred twenty-one million, one hundred seventy-one thousand, two hundred".