106727865400 has 96 divisors (see below), whose sum is σ = 267561000000. Its totient is φ = 39358425600.

The previous prime is 106727865331. The next prime is 106727865421. The reversal of 106727865400 is 4568727601.

It is a happy number.

It is a super-2 number, since 2×106727865400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109601 + ... + 2159599.

It is an arithmetic number, because the mean of its divisors is an integer number (2787093750).

Almost surely, 2^106727865400 is an apocalyptic number.

106727865400 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 106727865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133780500000).

106727865400 is an abundant number, since it is smaller than the sum of its proper divisors (160833134600).

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

106727865400 is a wasteful number, since it uses less digits than its factorization.

106727865400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50849 (or 50840 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 106727865400 in words is "one hundred six billion, seven hundred twenty-seven million, eight hundred sixty-five thousand, four hundred".