105262166552 has 32 divisors (see below), whose sum is σ = 200387174400. Its totient is φ = 51829069344.

The previous prime is 105262166531. The next prime is 105262166573. The reversal of 105262166552 is 255661262501.

It is an interprime number because it is at equal distance from previous prime (105262166531) and next prime (105262166573).

It is a super-2 number, since 2×105262166552² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24623 + ... + 459489.

It is an arithmetic number, because the mean of its divisors is an integer number (6262099200).

Almost surely, 2^105262166552 is an apocalyptic number.

It is an amenable number.

105262166552 is a deficient number, since it is larger than the sum of its proper divisors (95125007848).

105262166552 is a wasteful number, since it uses less digits than its factorization.

105262166552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435335 (or 435331 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 105262166552 in words is "one hundred five billion, two hundred sixty-two million, one hundred sixty-six thousand, five hundred fifty-two".