10106019 has 32 divisors (see below), whose sum is σ = 18670080. Its totient is φ = 5248800.

The previous prime is 10106017. The next prime is 10106021. The reversal of 10106019 is 91060101.

It is an interprime number because it is at equal distance from previous prime (10106017) and next prime (10106021).

It is not a de Polignac number, because 10106019 - 2¹ = 10106017 is a prime.

It is a super-2 number, since 2×10106019² = 204263240056722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105992 and 10106010.

It is not an unprimeable number, because it can be changed into a prime (10106017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (583440).

Almost surely, 2^10106019 is an apocalyptic number.

10106019 is a deficient number, since it is larger than the sum of its proper divisors (8564061).

10106019 is a wasteful number, since it uses less digits than its factorization.

10106019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10106019 is about 3178.9965397905. The cubic root of 10106019 is about 216.2021641215.

The spelling of 10106019 in words is "ten million, one hundred six thousand, nineteen".