101116050 has 192 divisors, whose sum is σ = 308551680. Its totient is φ = 21415680.

The previous prime is 101116031. The next prime is 101116061. The reversal of 101116050 is 50611101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1279911 + ... + 1279989.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^101116050 is an apocalyptic number.

101116050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101116050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

101116050 is an abundant number, since it is smaller than the sum of its proper divisors (207435630).

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

101116050 is a wasteful number, since it uses less digits than its factorization.

101116050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101116050 is about 10055.6476668587. The cubic root of 101116050 is about 465.8792475107.

Adding to 101116050 its reverse (50611101), we get a palindrome (151727151).

It can be divided in two parts, 10111 and 6050, that added together give a palindrome (16161).

The spelling of 101116050 in words is "one hundred one million, one hundred sixteen thousand, fifty".