105066662232 has 128 divisors (see below), whose sum is σ = 334577779200. Its totient is φ = 26766194688.

The previous prime is 105066662221. The next prime is 105066662269. The reversal of 105066662232 is 232266660501.

It is a super-2 number, since 2×105066662232² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913843 + ... + 1022370.

It is an arithmetic number, because the mean of its divisors is an integer number (2613888900).

Almost surely, 2^105066662232 is an apocalyptic number.

105066662232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105066662232 is an abundant number, since it is smaller than the sum of its proper divisors (229511116968).

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

105066662232 is a wasteful number, since it uses less digits than its factorization.

105066662232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936265 (or 1936261 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 105066662232 in words is "one hundred five billion, sixty-six million, six hundred sixty-two thousand, two hundred thirty-two".