10106000010 has 48 divisors (see below), whose sum is σ = 26384684040. Its totient is φ = 2683745280.

The previous prime is 10105999997. The next prime is 10106000027. The reversal of 10106000010 is 1000060101.

It can be written as a sum of positive squares in 4 ways, for example, as 6357989169 + 3748010841 = 79737^2 + 61221^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105999956 and 10106000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211275 + ... + 254654.

Almost surely, 2^10106000010 is an apocalyptic number.

10106000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106000010 is an abundant number, since it is smaller than the sum of its proper divisors (16278684030).

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

10106000010 is a wasteful number, since it uses less digits than its factorization.

10106000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466183 (or 466180 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10106000010 its reverse (1000060101), we get a palindrome (11106060111).

The spelling of 10106000010 in words is "ten billion, one hundred six million, ten", and thus it is an aban number.