101322480 has 160 divisors (see below), whose sum is σ = 367976448. Its totient is φ = 22579200.

The previous prime is 101322479. The next prime is 101322509. The reversal of 101322480 is 84223101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68145 + ... + 69615.

Almost surely, 2^101322480 is an apocalyptic number.

101322480 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 101322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988224).

101322480 is an abundant number, since it is smaller than the sum of its proper divisors (266653968).

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

101322480 is a wasteful number, since it uses less digits than its factorization.

101322480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101322480 is about 10065.9068145895. The cubic root of 101322480 is about 466.1960652728.

Adding to 101322480 its reverse (84223101), we get a palindrome (185545581).

The spelling of 101322480 in words is "one hundred one million, three hundred twenty-two thousand, four hundred eighty".