10116727643 has 32 divisors (see below), whose sum is σ = 11508203520. Its totient is φ = 8810496000.

The previous prime is 10116727639. The next prime is 10116727661. The reversal of 10116727643 is 34672761101.

10116727643 = T₉₀₄₂ + T₉₀₄₃ + ... + T₉₂₈₂.

It is a cyclic number.

It is not a de Polignac number, because 10116727643 - 2² = 10116727639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10116727597 and 10116727606.

It is not an unprimeable number, because it can be changed into a prime (10116724643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21120278 + ... + 21120756.

It is an arithmetic number, because the mean of its divisors is an integer number (359631360).

Almost surely, 2^10116727643 is an apocalyptic number.

10116727643 is a deficient number, since it is larger than the sum of its proper divisors (1391475877).

10116727643 is a wasteful number, since it uses less digits than its factorization.

10116727643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 10116727643 in words is "ten billion, one hundred sixteen million, seven hundred twenty-seven thousand, six hundred forty-three".