105552552168 has 320 divisors, whose sum is σ = 343247224320. Its totient is φ = 29681769600.

The previous prime is 105552552137. The next prime is 105552552227. The reversal of 105552552168 is 861255255501.

105552552168 is a `hidden beast` number, since 10 + 5 + 5 + 52 + 5 + 521 + 68 = 666.

It is a super-2 number, since 2×105552552168² (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 79 ways as a sum of consecutive naturals, for example, 184855323 + ... + 184855893.

It is an arithmetic number, because the mean of its divisors is an integer number (1072647576).

Almost surely, 2^105552552168 is an apocalyptic number.

105552552168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105552552168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171623612160).

105552552168 is an abundant number, since it is smaller than the sum of its proper divisors (237694672152).

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

105552552168 is a wasteful number, since it uses less digits than its factorization.

105552552168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 45.

The spelling of 105552552168 in words is "one hundred five billion, five hundred fifty-two million, five hundred fifty-two thousand, one hundred sixty-eight".