101066067105 has 16 divisors (see below), whose sum is σ = 161709679680. Its totient is φ = 53900578368.

The previous prime is 101066067101. The next prime is 101066067119. The reversal of 101066067105 is 501760660101.

It is not a de Polignac number, because 101066067105 - 2² = 101066067101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101066067101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036794 + ... + 1130076.

It is an arithmetic number, because the mean of its divisors is an integer number (10106854980).

Almost surely, 2^101066067105 is an apocalyptic number.

101066067105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101066067105 is a deficient number, since it is larger than the sum of its proper divisors (60643612575).

101066067105 is an equidigital number, since it uses as much as digits as its factorization.

101066067105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165520.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 101066067105 in words is "one hundred one billion, sixty-six million, sixty-seven thousand, one hundred five".