106206721560960 has 512 divisors, whose sum is σ = 363954539520000. Its totient is φ = 26291788185600.

The previous prime is 106206721560911. The next prime is 106206721560971. The reversal of 106206721560960 is 69065127602601.

It is a super-2 number, since 2×106206721560960² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 156019416 + ... + 156698664.

It is an arithmetic number, because the mean of its divisors is an integer number (710848710000).

Almost surely, 2^{106206721560960} is an apocalyptic number.

106206721560960 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 106206721560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181977269760000).

106206721560960 is an abundant number, since it is smaller than the sum of its proper divisors (257747817959040).

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

106206721560960 is a wasteful number, since it uses less digits than its factorization.

106206721560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679410 (or 679398 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 106206721560960 in words is "one hundred six trillion, two hundred six billion, seven hundred twenty-one million, five hundred sixty thousand, nine hundred sixty".