103287675456 has 189 divisors, whose sum is σ = 344571180681. Its totient is φ = 29495337984.

The previous prime is 103287675451. The next prime is 103287675473. The reversal of 103287675456 is 654576782301.

The square root of 103287675456 is 321384.

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

103287675456 is a `hidden beast` number, since 1 + 0 + 3 + 28 + 76 + 7 + 545 + 6 = 666.

103287675456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89928014400 + 13359661056 = 299880^2 + 115584^2 .

It is a super-2 number, since 2×103287675456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103287675451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53991556 + ... + 53993468.

Almost surely, 2^103287675456 is an apocalyptic number.

103287675456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103287675456 is the 321384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103287675456

103287675456 is an abundant number, since it is smaller than the sum of its proper divisors (241283505225).

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

103287675456 is an frugal number, since it uses more digits than its factorization.

103287675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 103287675456 in words is "one hundred three billion, two hundred eighty-seven million, six hundred seventy-five thousand, four hundred fifty-six".