10145127627 has 6 divisors (see below), whose sum is σ = 14654073252. Its totient is φ = 6763418412.

The previous prime is 10145127607. The next prime is 10145127631. The reversal of 10145127627 is 72672154101.

10145127627 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 1 + 27 + 627 = 666.

It is not a de Polignac number, because 10145127627 - 2²⁶ = 10078018763 is a prime.

It is a super-2 number, since 2×10145127627² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10145127591 and 10145127600.

It is not an unprimeable number, because it can be changed into a prime (10145127607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563618193 + ... + 563618210.

It is an arithmetic number, because the mean of its divisors is an integer number (2442345542).

Almost surely, 2^10145127627 is an apocalyptic number.

10145127627 is a deficient number, since it is larger than the sum of its proper divisors (4508945625).

10145127627 is a wasteful number, since it uses less digits than its factorization.

10145127627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127236409 (or 1127236406 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10145127627 in words is "ten billion, one hundred forty-five million, one hundred twenty-seven thousand, six hundred twenty-seven".