106056060605616 has 160 divisors (see below), whose sum is σ = 306972218734848. Its totient is φ = 31268685726720.

The previous prime is 106056060605611. The next prime is 106056060605617. The reversal of 106056060605616 is 616506060650601.

It is a super-2 number, since 2×106056060605616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106056060605611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973678390 + ... + 973787306.

Almost surely, 2^{106056060605616} is an apocalyptic number.

106056060605616 is a gapful number since it is divisible by the number (16) 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 106056060605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153486109367424).

106056060605616 is an abundant number, since it is smaller than the sum of its proper divisors (200916158129232).

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

106056060605616 is a wasteful number, since it uses less digits than its factorization.

106056060605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158819 (or 158813 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 106056060605616 in words is "one hundred six trillion, fifty-six billion, sixty million, six hundred five thousand, six hundred sixteen".