106662334464 has 507 divisors, whose sum is σ = 372184107807. Its totient is φ = 30474952704.

The previous prime is 106662334451. The next prime is 106662334517. The reversal of 106662334464 is 464433266601.

The square root of 106662334464 is 326592.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106662334464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 15237476349 + ... + 15237476355.

Almost surely, 2^106662334464 is an apocalyptic number.

106662334464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106662334464 is the 326592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106662334464

106662334464 is an abundant number, since it is smaller than the sum of its proper divisors (265521773343).

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

106662334464 is an frugal number, since it uses more digits than its factorization.

106662334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 106662334464 in words is "one hundred six billion, six hundred sixty-two million, three hundred thirty-four thousand, four hundred sixty-four".