1010506106010 has 16 divisors (see below), whose sum is σ = 2425214654496. Its totient is φ = 269468294928.

The previous prime is 1010506105933. The next prime is 1010506106041. The reversal of 1010506106010 is 106016050101.

It is a super-2 number, since 2×1010506106010² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16841768404 + ... + 16841768463.

It is an arithmetic number, because the mean of its divisors is an integer number (151575915906).

Almost surely, 2^{1010506106010} is an apocalyptic number.

1010506106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010506106010 is an abundant number, since it is smaller than the sum of its proper divisors (1414708548486).

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

1010506106010 is a wasteful number, since it uses less digits than its factorization.

1010506106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33683536877.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1010506106010 in words is "one trillion, ten billion, five hundred six million, one hundred six thousand, ten".