101480576 has 64 divisors (see below), whose sum is σ = 211158360. Its totient is φ = 48537600.

The previous prime is 101480569. The next prime is 101480579. The reversal of 101480576 is 675084101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10086976 + 91393600 = 3176^2 + 9560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (101480579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319970 + ... + 320286.

Almost surely, 2^101480576 is an apocalyptic number.

101480576 is a gapful number since it is divisible by the number (16) 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 101480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105579180).

101480576 is an abundant number, since it is smaller than the sum of its proper divisors (109677784).

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

101480576 is an equidigital number, since it uses as much as digits as its factorization.

101480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 101480576 is about 10073.7567967467. The cubic root of 101480576 is about 466.4384117307.

The spelling of 101480576 in words is "one hundred one million, four hundred eighty thousand, five hundred seventy-six".