105552266316 has 144 divisors (see below), whose sum is σ = 290352593664. Its totient is φ = 29753184384.

The previous prime is 105552266273. The next prime is 105552266329. The reversal of 105552266316 is 613662255501.

It is a super-2 number, since 2×105552266316² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 59198361 + ... + 59200143.

It is an arithmetic number, because the mean of its divisors is an integer number (2016337456).

Almost surely, 2^105552266316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105552266316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145176296832).

105552266316 is an abundant number, since it is smaller than the sum of its proper divisors (184800327348).

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

105552266316 is a wasteful number, since it uses less digits than its factorization.

105552266316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 105552266316 in words is "one hundred five billion, five hundred fifty-two million, two hundred sixty-six thousand, three hundred sixteen".