101766960 has 120 divisors (see below), whose sum is σ = 343665504. Its totient is φ = 26987520.

The previous prime is 101766949. The next prime is 101766991. The reversal of 101766960 is 69667101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202069 + ... + 202571.

Almost surely, 2^101766960 is an apocalyptic number.

101766960 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 101766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171832752).

101766960 is an abundant number, since it is smaller than the sum of its proper divisors (241898544).

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

101766960 is a wasteful number, since it uses less digits than its factorization.

101766960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101766960 is about 10087.9611418760. The cubic root of 101766960 is about 466.8767716045.

The spelling of 101766960 in words is "one hundred one million, seven hundred sixty-six thousand, nine hundred sixty".