10105112 has 24 divisors (see below), whose sum is σ = 20002500. Its totient is φ = 4785264.

The previous prime is 10105097. The next prime is 10105133. The reversal of 10105112 is 21150101.

It is a super-2 number, since 2×10105112² = 204226577065088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105093 and 10105102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1139 + ... + 4637.

Almost surely, 2^10105112 is an apocalyptic number.

It is an amenable number.

10105112 is a deficient number, since it is larger than the sum of its proper divisors (9897388).

10105112 is a wasteful number, since it uses less digits than its factorization.

10105112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 10105112 is about 3178.8538815114. The cubic root of 10105112 is about 216.1956959884.

Adding to 10105112 its reverse (21150101), we get a palindrome (31255213).

It can be divided in two parts, 10105 and 112, that multiplied together give a triangular number (1131760 = T₁₅₀₄).

The spelling of 10105112 in words is "ten million, one hundred five thousand, one hundred twelve".