1006106364031 has 8 divisors (see below), whose sum is σ = 1038640408704. Its totient is φ = 973577256960.

The previous prime is 1006106364019. The next prime is 1006106364097. The reversal of 1006106364031 is 1304636016001.

1006106364031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006106364031 is a prime.

It is a super-2 number, since 2×1006106364031² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006106363984 and 1006106364002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006106364331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818050 + ... + 1637503.

It is an arithmetic number, because the mean of its divisors is an integer number (129830051088).

Almost surely, 2^{1006106364031} is an apocalyptic number.

1006106364031 is a deficient number, since it is larger than the sum of its proper divisors (32534044673).

1006106364031 is a wasteful number, since it uses less digits than its factorization.

1006106364031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468801.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 1006106364031 in words is "one trillion, six billion, one hundred six million, three hundred sixty-four thousand, thirty-one".