101464864320 has 448 divisors, whose sum is σ = 344900560896. Its totient is φ = 25216942080.

The previous prime is 101464864279. The next prime is 101464864331. The reversal of 101464864320 is 23468464101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158291200 + ... + 158291840.

Almost surely, 2^101464864320 is an apocalyptic number.

101464864320 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 101464864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172450280448).

101464864320 is an abundant number, since it is smaller than the sum of its proper divisors (243435696576).

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

101464864320 is a wasteful number, since it uses less digits than its factorization.

101464864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 101464864320 in words is "one hundred one billion, four hundred sixty-four million, eight hundred sixty-four thousand, three hundred twenty".