10055677284 has 81 divisors (see below), whose sum is σ = 26437521747. Its totient is φ = 3346477416.

The previous prime is 10055677277. The next prime is 10055677339. The reversal of 10055677284 is 48277655001.

The square root of 10055677284 is 100278.

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

10055677284 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 567 + 7 + 2 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×10055677284² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16244727 + ... + 16245345.

Almost surely, 2^10055677284 is an apocalyptic number.

10055677284 is the 100278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055677284

10055677284 is an abundant number, since it is smaller than the sum of its proper divisors (16381844463).

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

10055677284 is an frugal number, since it uses more digits than its factorization.

10055677284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10055677284 in words is "ten billion, fifty-five million, six hundred seventy-seven thousand, two hundred eighty-four".