101320352 has 48 divisors (see below), whose sum is σ = 228759552. Its totient is φ = 43272960.

The previous prime is 101320327. The next prime is 101320381. The reversal of 101320352 is 253023101.

It is a self number, because there is not a number n which added to its sum of digits gives 101320352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85202 + ... + 86382.

It is an arithmetic number, because the mean of its divisors is an integer number (4765824).

Almost surely, 2^101320352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114379776).

101320352 is an abundant number, since it is smaller than the sum of its proper divisors (127439200).

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

101320352 is a wasteful number, since it uses less digits than its factorization.

101320352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 101320352 is about 10065.8011106916. The cubic root of 101320352 is about 466.1928015279.

Adding to 101320352 its reverse (253023101), we get a palindrome (354343453).

The spelling of 101320352 in words is "one hundred one million, three hundred twenty thousand, three hundred fifty-two".