101350320 has 80 divisors (see below), whose sum is σ = 316131552. Its totient is φ = 26859520.

The previous prime is 101350309. The next prime is 101350357. The reversal of 101350320 is 23053101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101350320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40300 + ... + 42740.

Almost surely, 2^101350320 is an apocalyptic number.

101350320 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 101350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158065776).

101350320 is an abundant number, since it is smaller than the sum of its proper divisors (214781232).

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

101350320 is a wasteful number, since it uses less digits than its factorization.

101350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101350320 is about 10067.2896054499. The cubic root of 101350320 is about 466.2387596808.

The spelling of 101350320 in words is "one hundred one million, three hundred fifty thousand, three hundred twenty".