101116153 has 8 divisors (see below), whose sum is σ = 109958472. Its totient is φ = 92595456.

The previous prime is 101116151. The next prime is 101116163. The reversal of 101116153 is 351611101.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 86918329 = 3768^2 + 9323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101116153 - 2¹ = 101116151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101116153.

It is not an unprimeable number, because it can be changed into a prime (101116151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79750 + ... + 81007.

It is an arithmetic number, because the mean of its divisors is an integer number (13744809).

Almost surely, 2^101116153 is an apocalyptic number.

It is an amenable number.

101116153 is a deficient number, since it is larger than the sum of its proper divisors (8842319).

101116153 is a wasteful number, since it uses less digits than its factorization.

101116153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160811.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 101116153 is about 10055.6527883574. The cubic root of 101116153 is about 465.8794056971.

Adding to 101116153 its reverse (351611101), we get a palindrome (452727254).

The spelling of 101116153 in words is "one hundred one million, one hundred sixteen thousand, one hundred fifty-three".