10420306127 has 32 divisors (see below), whose sum is σ = 13284311040. Its totient is φ = 7937174880.

The previous prime is 10420306121. The next prime is 10420306133. The reversal of 10420306127 is 72160302401.

It is an interprime number because it is at equal distance from previous prime (10420306121) and next prime (10420306133).

It is a cyclic number.

It is not a de Polignac number, because 10420306127 - 2¹⁶ = 10420240591 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10420306096 and 10420306105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420306121) 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, 4555178 + ... + 4557464.

It is an arithmetic number, because the mean of its divisors is an integer number (415134720).

Almost surely, 2^10420306127 is an apocalyptic number.

10420306127 is a deficient number, since it is larger than the sum of its proper divisors (2864004913).

10420306127 is a wasteful number, since it uses less digits than its factorization.

10420306127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 10420306127 its reverse (72160302401), we get a palindrome (82580608528).

The spelling of 10420306127 in words is "ten billion, four hundred twenty million, three hundred six thousand, one hundred twenty-seven".