101438080 has 64 divisors (see below), whose sum is σ = 243729000. Its totient is φ = 40370176.

The previous prime is 101438063. The next prime is 101438081. The reversal of 101438080 is 80834101.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 19571776 = 9048^2 + 4424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (101438081) 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, 225696 + ... + 226144.

Almost surely, 2^101438080 is an apocalyptic number.

101438080 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 101438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121864500).

101438080 is an abundant number, since it is smaller than the sum of its proper divisors (142290920).

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

101438080 is an equidigital number, since it uses as much as digits as its factorization.

101438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 101438080 is about 10071.6473329838. The cubic root of 101438080 is about 466.3732940664.

The spelling of 101438080 in words is "one hundred one million, four hundred thirty-eight thousand, eighty".