10105112564 has 12 divisors (see below), whose sum is σ = 17711283744. Its totient is φ = 5044745784.

The previous prime is 10105112557. The next prime is 10105112581. The reversal of 10105112564 is 46521150101.

It is a super-2 number, since 2×10105112564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1949714 + ... + 1954889.

It is an arithmetic number, because the mean of its divisors is an integer number (1475940312).

Almost surely, 2^10105112564 is an apocalyptic number.

It is an amenable number.

10105112564 is a deficient number, since it is larger than the sum of its proper divisors (7606171180).

10105112564 is a wasteful number, since it uses less digits than its factorization.

10105112564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905254 (or 3905252 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 10105112564 its reverse (46521150101), we get a palindrome (56626262665).

The spelling of 10105112564 in words is "ten billion, one hundred five million, one hundred twelve thousand, five hundred sixty-four".