106513046316 has 36 divisors (see below), whose sum is σ = 274969854432. Its totient is φ = 34748936544.

The previous prime is 106513046303. The next prime is 106513046357. The reversal of 106513046316 is 613640315601.

106513046316 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 13 + 0 + 4 + 631 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106513046316² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31473795 + ... + 31477178.

It is an arithmetic number, because the mean of its divisors is an integer number (7638051512).

Almost surely, 2^106513046316 is an apocalyptic number.

It is an amenable number.

106513046316 is an abundant number, since it is smaller than the sum of its proper divisors (168456808116).

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

106513046316 is a wasteful number, since it uses less digits than its factorization.

106513046316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62951030 (or 62951025 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106513046316 in words is "one hundred six billion, five hundred thirteen million, forty-six thousand, three hundred sixteen".