106411659264 has 117 divisors (see below), whose sum is σ = 307554955383. Its totient is φ = 35449675776.

The previous prime is 106411659247. The next prime is 106411659311. The reversal of 106411659264 is 462956114601.

The square root of 106411659264 is 326208.

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

106411659264 is a `hidden beast` number, since 1 + 0 + 6 + 41 + 16 + 592 + 6 + 4 = 666.

It is a super-2 number, since 2×106411659264² (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 8 ways as a sum of consecutive naturals, for example, 62631087 + ... + 62632785.

Almost surely, 2^106411659264 is an apocalyptic number.

106411659264 is the 326208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106411659264

106411659264 is an abundant number, since it is smaller than the sum of its proper divisors (201143296119).

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

106411659264 is an frugal number, since it uses more digits than its factorization.

106411659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106411659264 in words is "one hundred six billion, four hundred eleven million, six hundred fifty-nine thousand, two hundred sixty-four".