101601106605 has 48 divisors (see below), whose sum is σ = 176667918336. Its totient is φ = 54015413760.

The previous prime is 101601106573. The next prime is 101601106657. The reversal of 101601106605 is 506601106101.

It is not a de Polignac number, because 101601106605 - 2⁵ = 101601106573 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28354644 + ... + 28358226.

It is an arithmetic number, because the mean of its divisors is an integer number (3680581632).

Almost surely, 2^101601106605 is an apocalyptic number.

101601106605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101601106605 is a deficient number, since it is larger than the sum of its proper divisors (75066811731).

101601106605 is a wasteful number, since it uses less digits than its factorization.

101601106605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

It can be divided in two parts, 10160 and 1106605, that added together give a triangular number (1116765 = T₁₄₉₄).

The spelling of 101601106605 in words is "one hundred one billion, six hundred one million, one hundred six thousand, six hundred five".