101303084160 has 768 divisors, whose sum is σ = 383232245760. Its totient is φ = 25521205248.

The previous prime is 101303084153. The next prime is 101303084219. The reversal of 101303084160 is 61480303101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454273809 + ... + 454274031.

It is an arithmetic number, because the mean of its divisors is an integer number (499000320).

Almost surely, 2^101303084160 is an apocalyptic number.

101303084160 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 101303084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191616122880).

101303084160 is an abundant number, since it is smaller than the sum of its proper divisors (281929161600).

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

101303084160 is a wasteful number, since it uses less digits than its factorization.

101303084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101303084160 its reverse (61480303101), we get a palindrome (162783387261).

The spelling of 101303084160 in words is "one hundred one billion, three hundred three million, eighty-four thousand, one hundred sixty".