106006101516 has 96 divisors (see below), whose sum is σ = 315720007680. Its totient is φ = 30130486272.

The previous prime is 106006101463. The next prime is 106006101529. The reversal of 106006101516 is 615101600601.

106006101516 is a `hidden beast` number, since 1 + 0 + 600 + 6 + 1 + 0 + 1 + 51 + 6 = 666.

It is a super-2 number, since 2×106006101516² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106006101516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217356 + ... + 509171.

It is an arithmetic number, because the mean of its divisors is an integer number (3288750080).

Almost surely, 2^106006101516 is an apocalyptic number.

It is an amenable number.

106006101516 is an abundant number, since it is smaller than the sum of its proper divisors (209713906164).

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

106006101516 is a wasteful number, since it uses less digits than its factorization.

106006101516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726740 (or 726732 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

It can be divided in two parts, 10600 and 6101516, that added together give a palindrome (6112116).

The spelling of 106006101516 in words is "one hundred six billion, six million, one hundred one thousand, five hundred sixteen".