106016311660 has 96 divisors (see below), whose sum is σ = 261956040192. Its totient is φ = 35284999680.

The previous prime is 106016311649. The next prime is 106016311669. The reversal of 106016311660 is 66113610601.

It is a super-2 number, since 2×106016311660² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016311669) 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, 927240 + ... + 1035280.

It is an arithmetic number, because the mean of its divisors is an integer number (2728708752).

Almost surely, 2^106016311660 is an apocalyptic number.

106016311660 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 106016311660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130978020096).

106016311660 is an abundant number, since it is smaller than the sum of its proper divisors (155939728532).

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

106016311660 is a wasteful number, since it uses less digits than its factorization.

106016311660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108263 (or 108261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 106016311660 in words is "one hundred six billion, sixteen million, three hundred eleven thousand, six hundred sixty".