101166560 has 96 divisors (see below), whose sum is σ = 266499072. Its totient is φ = 35975680.

The previous prime is 101166521. The next prime is 101166577. The reversal of 101166560 is 65661101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82109 + ... + 83331.

It is an arithmetic number, because the mean of its divisors is an integer number (2776032).

Almost surely, 2^101166560 is an apocalyptic number.

101166560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536).

101166560 is an abundant number, since it is smaller than the sum of its proper divisors (165332512).

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

101166560 is a wasteful number, since it uses less digits than its factorization.

101166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101166560 is about 10058.1588772499. The cubic root of 101166560 is about 465.9568073827.

It can be divided in two parts, 10116 and 6560, that multiplied together give a triangular number (66360960 = T₁₁₅₂₀).

The spelling of 101166560 in words is "one hundred one million, one hundred sixty-six thousand, five hundred sixty".