106321694800 has 60 divisors (see below), whose sum is σ = 255471778720. Its totient is φ = 42523032960.

The previous prime is 106321694777. The next prime is 106321694807. The reversal of 106321694800 is 8496123601.

It is a super-2 number, since 2×106321694800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321694807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4349011 + ... + 4373389.

Almost surely, 2^106321694800 is an apocalyptic number.

106321694800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106321694800 is an abundant number, since it is smaller than the sum of its proper divisors (149150083920).

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

106321694800 is a wasteful number, since it uses less digits than its factorization.

106321694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35300 (or 35289 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 106321694800 in words is "one hundred six billion, three hundred twenty-one million, six hundred ninety-four thousand, eight hundred".