101132505 has 12 divisors (see below), whose sum is σ = 175296420. Its totient is φ = 53937312.

The previous prime is 101132503. The next prime is 101132519. The reversal of 101132505 is 505231101.

It can be written as a sum of positive squares in 2 ways, for example, as 38975049 + 62157456 = 6243^2 + 7884^2 .

It is not a de Polignac number, because 101132505 - 2¹ = 101132503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101132503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123650 + ... + 1123739.

It is an arithmetic number, because the mean of its divisors is an integer number (14608035).

Almost surely, 2^101132505 is an apocalyptic number.

101132505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101132505 is a deficient number, since it is larger than the sum of its proper divisors (74163915).

101132505 is a wasteful number, since it uses less digits than its factorization.

101132505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247400 (or 2247397 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101132505 is about 10056.4658304993. The cubic root of 101132505 is about 465.9045175749.

Adding to 101132505 its reverse (505231101), we get a palindrome (606363606).

The spelling of 101132505 in words is "one hundred one million, one hundred thirty-two thousand, five hundred five".