101020320 has 216 divisors, whose sum is σ = 361090548. Its totient is φ = 25712640.

The previous prime is 101020303. The next prime is 101020327. The reversal of 101020320 is 23020101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 138384 = 10044^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101020327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383804 + ... + 1383876.

Almost surely, 2^101020320 is an apocalyptic number.

101020320 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 101020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180545274).

101020320 is an abundant number, since it is smaller than the sum of its proper divisors (260070228).

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

101020320 is a wasteful number, since it uses less digits than its factorization.

101020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101020320 is about 10050.8865280631. The cubic root of 101020320 is about 465.7321798522.

Adding to 101020320 its reverse (23020101), we get a palindrome (124040421).

The spelling of 101020320 in words is "one hundred one million, twenty thousand, three hundred twenty".