106072866460 has 108 divisors (see below), whose sum is σ = 260095756536. Its totient is φ = 36302773760.

The previous prime is 106072866397. The next prime is 106072866491. The reversal of 106072866460 is 64668270601.

It is a super-2 number, since 2×106072866460² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106072866460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 623547 + ... + 775213.

It is an arithmetic number, because the mean of its divisors is an integer number (2408294042).

Almost surely, 2^106072866460 is an apocalyptic number.

106072866460 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 106072866460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130047878268).

106072866460 is an abundant number, since it is smaller than the sum of its proper divisors (154022890076).

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

106072866460 is a wasteful number, since it uses less digits than its factorization.

106072866460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151732 (or 151702 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 106072866460 in words is "one hundred six billion, seventy-two million, eight hundred sixty-six thousand, four hundred sixty".