105106506516 has 72 divisors (see below), whose sum is σ = 293331284064. Its totient is φ = 31466706240.

The previous prime is 105106506451. The next prime is 105106506529. The reversal of 105106506516 is 615605601501.

105106506516 is a `hidden beast` number, since 10 + 510 + 65 + 0 + 65 + 16 = 666.

It is a super-2 number, since 2×105106506516² (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 a congruent number.

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, 1566051 + ... + 1631786.

It is an arithmetic number, because the mean of its divisors is an integer number (4074045612).

Almost surely, 2^105106506516 is an apocalyptic number.

It is an amenable number.

105106506516 is an abundant number, since it is smaller than the sum of its proper divisors (188224777548).

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

105106506516 is a wasteful number, since it uses less digits than its factorization.

105106506516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197941 (or 3197936 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105106506516 in words is "one hundred five billion, one hundred six million, five hundred six thousand, five hundred sixteen".