106879231200 has 864 divisors, whose sum is σ = 432271020384. Its totient is φ = 22790799360.

The previous prime is 106879231157. The next prime is 106879231211. The reversal of 106879231200 is 2132978601.

It is a super-2 number, since 2×106879231200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 385845462 + ... + 385845738.

It is an arithmetic number, because the mean of its divisors is an integer number (500313681).

Almost surely, 2^106879231200 is an apocalyptic number.

106879231200 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 106879231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216135510192).

106879231200 is an abundant number, since it is smaller than the sum of its proper divisors (325391789184).

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

106879231200 is a wasteful number, since it uses less digits than its factorization.

106879231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 106879231200 in words is "one hundred six billion, eight hundred seventy-nine million, two hundred thirty-one thousand, two hundred".