101208320 has 72 divisors (see below), whose sum is σ = 249094104. Its totient is φ = 39370752.

The previous prime is 101208319. The next prime is 101208329. The reversal of 101208320 is 23802101.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 94322944 = 2624^2 + 9712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101208329) 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, 46292 + ... + 48428.

Almost surely, 2^101208320 is an apocalyptic number.

101208320 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 101208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124547052).

101208320 is an abundant number, since it is smaller than the sum of its proper divisors (147885784).

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

101208320 is an equidigital number, since it uses as much as digits as its factorization.

101208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101208320 is about 10060.2345897101. The cubic root of 101208320 is about 466.0209118309.

The spelling of 101208320 in words is "one hundred one million, two hundred eight thousand, three hundred twenty".