10106512 has 20 divisors (see below), whose sum is σ = 21088060. Its totient is φ = 4664448.

The previous prime is 10106507. The next prime is 10106539. The reversal of 10106512 is 21560101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 6170256 = 1984^2 + 2484^2 .

It is a super-2 number, since 2×10106512² = 204283169612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 24087 + ... + 24502.

It is an arithmetic number, because the mean of its divisors is an integer number (1054403).

Almost surely, 2^10106512 is an apocalyptic number.

It is an amenable number.

10106512 is an abundant number, since it is smaller than the sum of its proper divisors (10981548).

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

10106512 is a wasteful number, since it uses less digits than its factorization.

10106512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48610 (or 48604 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10106512 is about 3179.0740790362. The cubic root of 10106512 is about 216.2056797140.

Adding to 10106512 its reverse (21560101), we get a palindrome (31666613).

The spelling of 10106512 in words is "ten million, one hundred six thousand, five hundred twelve".