101101350 has 96 divisors (see below), whose sum is σ = 290695680. Its totient is φ = 22775040.

The previous prime is 101101331. The next prime is 101101361. The reversal of 101101350 is 53101101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75991 + ... + 77309.

It is an arithmetic number, because the mean of its divisors is an integer number (3028080).

Almost surely, 2^101101350 is an apocalyptic number.

101101350 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 101101350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347840).

101101350 is an abundant number, since it is smaller than the sum of its proper divisors (189594330).

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

101101350 is a wasteful number, since it uses less digits than its factorization.

101101350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 101101350 is about 10054.9167077604. The cubic root of 101101350 is about 465.8566702943.

Adding to 101101350 its reverse (53101101), we get a palindrome (154202451).

The spelling of 101101350 in words is "one hundred one million, one hundred one thousand, three hundred fifty".