101126480 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 30836736.

The previous prime is 101126479. The next prime is 101126503. The reversal of 101126480 is 84621101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210881 + ... + 211359.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^101126480 is an apocalyptic number.

101126480 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 101126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

101126480 is an abundant number, since it is smaller than the sum of its proper divisors (198854320).

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

101126480 is a wasteful number, since it uses less digits than its factorization.

101126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 101126480 is about 10056.1662675196. The cubic root of 101126480 is about 465.8952652563.

Adding to 101126480 its reverse (84621101), we get a palindrome (185747581).

The spelling of 101126480 in words is "one hundred one million, one hundred twenty-six thousand, four hundred eighty".