1006138104 has 32 divisors (see below), whose sum is σ = 2520539520. Its totient is φ = 334686816.

The previous prime is 1006138099. The next prime is 1006138109. The reversal of 1006138104 is 4018316001.

It is an interprime number because it is at equal distance from previous prime (1006138099) and next prime (1006138109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006138109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31354 + ... + 54729.

It is an arithmetic number, because the mean of its divisors is an integer number (78766860).

Almost surely, 2^1006138104 is an apocalyptic number.

It is an amenable number.

1006138104 is an abundant number, since it is smaller than the sum of its proper divisors (1514401416).

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

1006138104 is a wasteful number, since it uses less digits than its factorization.

1006138104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86579 (or 86575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1006138104 is about 31719.6800740487. The cubic root of 1006138104 is about 1002.0418626260.

The spelling of 1006138104 in words is "one billion, six million, one hundred thirty-eight thousand, one hundred four".