106616333516 has 72 divisors (see below), whose sum is σ = 237673583616. Its totient is φ = 40654766880.

The previous prime is 106616333501. The next prime is 106616333543. The reversal of 106616333516 is 615333616601.

106616333516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106616333516² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602021 + ... + 758723.

Almost surely, 2^106616333516 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 106616333516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118836791808).

106616333516 is an abundant number, since it is smaller than the sum of its proper divisors (131057250100).

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

106616333516 is a wasteful number, since it uses less digits than its factorization.

106616333516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156819 (or 156770 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 106616333516 in words is "one hundred six billion, six hundred sixteen million, three hundred thirty-three thousand, five hundred sixteen".