10506144126 has 64 divisors (see below), whose sum is σ = 23463302400. Its totient is φ = 3116699136.

The previous prime is 10506144037. The next prime is 10506144167. The reversal of 10506144126 is 62144160501.

It is a super-2 number, since 2×10506144126² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506144093 and 10506144102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086280 + ... + 1095908.

It is an arithmetic number, because the mean of its divisors is an integer number (366614100).

Almost surely, 2^10506144126 is an apocalyptic number.

10506144126 is an abundant number, since it is smaller than the sum of its proper divisors (12957158274).

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

10506144126 is a wasteful number, since it uses less digits than its factorization.

10506144126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10506144126 in words is "ten billion, five hundred six million, one hundred forty-four thousand, one hundred twenty-six".