101140480 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 32243712.

The previous prime is 101140451. The next prime is 101140489. The reversal of 101140480 is 84041101.

It is not an unprimeable number, because it can be changed into a prime (101140489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218519 + ... + 1218601.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^101140480 is an apocalyptic number.

101140480 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 101140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

101140480 is an abundant number, since it is smaller than the sum of its proper divisors (196058240).

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

101140480 is an equidigital number, since it uses as much as digits as its factorization.

101140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 101140480 is about 10056.8623337500. The cubic root of 101140480 is about 465.9167638547.

Adding to 101140480 its reverse (84041101), we get a palindrome (185181581).

The spelling of 101140480 in words is "one hundred one million, one hundred forty thousand, four hundred eighty".