1006106000010 has 32 divisors (see below), whose sum is σ = 2414686531392. Its totient is φ = 268291363200.

The previous prime is 1006105999981. The next prime is 1006106000027. The reversal of 1006106000010 is 100006016001.

It is a super-2 number, since 2×1006106000010² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694222 + ... + 3044838.

It is an arithmetic number, because the mean of its divisors is an integer number (75458954106).

Almost surely, 2^{1006106000010} is an apocalyptic number.

1006106000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006106000010 is an abundant number, since it is smaller than the sum of its proper divisors (1408580531382).

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

1006106000010 is a wasteful number, since it uses less digits than its factorization.

1006106000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446278.

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 1006106000010 in words is "one trillion, six billion, one hundred six million, ten", and thus it is an aban number.