101126880 has 288 divisors, whose sum is σ = 380630880. Its totient is φ = 25380864.

The previous prime is 101126849. The next prime is 101126881. The reversal of 101126880 is 88621101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101126881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5948632 + ... + 5948648.

It is an arithmetic number, because the mean of its divisors is an integer number (1321635).

Almost surely, 2^101126880 is an apocalyptic number.

101126880 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 101126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190315440).

101126880 is an abundant number, since it is smaller than the sum of its proper divisors (279504000).

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

101126880 is an frugal number, since it uses more digits than its factorization.

101126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101126880 is about 10056.1861557948. The cubic root of 101126880 is about 465.8958795295.

Adding to 101126880 its reverse (88621101), we get a palindrome (189747981).

The spelling of 101126880 in words is "one hundred one million, one hundred twenty-six thousand, eight hundred eighty".