105511654116 has 72 divisors (see below), whose sum is σ = 291001183200. Its totient is φ = 31968305280.

The previous prime is 105511654097. The next prime is 105511654121. The reversal of 105511654116 is 611456115501.

105511654116 is a `hidden beast` number, since 1 + 0 + 551 + 1 + 65 + 41 + 1 + 6 = 666.

It is a super-2 number, since 2×105511654116² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186775 + ... + 3219713.

It is an arithmetic number, because the mean of its divisors is an integer number (4041683100).

Almost surely, 2^105511654116 is an apocalyptic number.

It is an amenable number.

105511654116 is an abundant number, since it is smaller than the sum of its proper divisors (185489529084).

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

105511654116 is a wasteful number, since it uses less digits than its factorization.

105511654116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41049 (or 41044 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Adding to 105511654116 its reverse (611456115501), we get a palindrome (716967769617).

The spelling of 105511654116 in words is "one hundred five billion, five hundred eleven million, six hundred fifty-four thousand, one hundred sixteen".