101132766 has 96 divisors (see below), whose sum is σ = 268757280. Its totient is φ = 28086912.

The previous prime is 101132753. The next prime is 101132777. The reversal of 101132766 is 667231101.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 97386 + ... + 98418.

It is an arithmetic number, because the mean of its divisors is an integer number (2799555).

Almost surely, 2^101132766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134378640).

101132766 is an abundant number, since it is smaller than the sum of its proper divisors (167624514).

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

101132766 is a wasteful number, since it uses less digits than its factorization.

101132766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101132766 is about 10056.4788072168. The cubic root of 101132766 is about 465.9049183724.

Adding to 101132766 its reverse (667231101), we get a palindrome (768363867).

The spelling of 101132766 in words is "one hundred one million, one hundred thirty-two thousand, seven hundred sixty-six".