101040480 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 25505280.

The previous prime is 101040463. The next prime is 101040481. The reversal of 101040480 is 84040101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81465 + ... + 82695.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^101040480 is an apocalyptic number.

101040480 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 101040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

101040480 is an abundant number, since it is smaller than the sum of its proper divisors (271516320).

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

101040480 is a wasteful number, since it uses less digits than its factorization.

101040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101040480 is about 10051.8893746400. The cubic root of 101040480 is about 465.7631588877.

Adding to 101040480 its reverse (84040101), we get a palindrome (185080581).

The spelling of 101040480 in words is "one hundred one million, forty thousand, four hundred eighty".