101459580320 has 144 divisors (see below), whose sum is σ = 278996999400. Its totient is φ = 34765645824.

The previous prime is 101459580247. The next prime is 101459580331. The reversal of 101459580320 is 23085954101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100481392144 + 978188176 = 316988^2 + 31276^2 .

It is an iccanobiF number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19981622 + ... + 19986698.

Almost surely, 2^101459580320 is an apocalyptic number.

101459580320 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 101459580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139498499700).

101459580320 is an abundant number, since it is smaller than the sum of its proper divisors (177537419080).

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

101459580320 is a wasteful number, since it uses less digits than its factorization.

101459580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 101459580320 in words is "one hundred one billion, four hundred fifty-nine million, five hundred eighty thousand, three hundred twenty".