106566161016 has 128 divisors (see below), whose sum is σ = 311384309760. Its totient is φ = 29758320000.

The previous prime is 106566160931. The next prime is 106566161029. The reversal of 106566161016 is 610161665601.

It is a super-2 number, since 2×106566161016² (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 31 ways as a sum of consecutive naturals, for example, 5920911 + ... + 5938881.

It is an arithmetic number, because the mean of its divisors is an integer number (2432689920).

Almost surely, 2^106566161016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106566161016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692154880).

106566161016 is an abundant number, since it is smaller than the sum of its proper divisors (204818148744).

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

106566161016 is a wasteful number, since it uses less digits than its factorization.

106566161016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 106566161016 in words is "one hundred six billion, five hundred sixty-six million, one hundred sixty-one thousand, sixteen".