101133760 has 224 divisors, whose sum is σ = 311334912. Its totient is φ = 30412800.

The previous prime is 101133733. The next prime is 101133761. The reversal of 101133760 is 67331101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 669685 + ... + 669835.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^101133760 is an apocalyptic number.

101133760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

101133760 is an abundant number, since it is smaller than the sum of its proper divisors (210201152).

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

101133760 is a wasteful number, since it uses less digits than its factorization.

101133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 101133760 is about 10056.5282279721. The cubic root of 101133760 is about 465.9064447750.

Adding to 101133760 its reverse (67331101), we get a palindrome (168464861).

The spelling of 101133760 in words is "one hundred one million, one hundred thirty-three thousand, seven hundred sixty".