106981265860 has 144 divisors (see below), whose sum is σ = 276693157440. Its totient is φ = 34546901760.

The previous prime is 106981265851. The next prime is 106981265927. The reversal of 106981265860 is 68562189601.

It is a super-2 number, since 2×106981265860² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106981265798 and 106981265807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3204655 + ... + 3237865.

It is an arithmetic number, because the mean of its divisors is an integer number (1921480260).

Almost surely, 2^106981265860 is an apocalyptic number.

106981265860 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 106981265860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138346578720).

106981265860 is an abundant number, since it is smaller than the sum of its proper divisors (169711891580).

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

106981265860 is a wasteful number, since it uses less digits than its factorization.

106981265860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33426 (or 33417 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 106981265860 in words is "one hundred six billion, nine hundred eighty-one million, two hundred sixty-five thousand, eight hundred sixty".