10100016752 has 80 divisors (see below), whose sum is σ = 23649153024. Its totient is φ = 4086720000.

The previous prime is 10100016737. The next prime is 10100016763. The reversal of 10100016752 is 25761000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106877 + ... + 177827.

Almost surely, 2^10100016752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824576512).

10100016752 is an abundant number, since it is smaller than the sum of its proper divisors (13549136272).

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

10100016752 is a wasteful number, since it uses less digits than its factorization.

10100016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71038 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 10100016752 its reverse (25761000101), we get a palindrome (35861016853).

The spelling of 10100016752 in words is "ten billion, one hundred million, sixteen thousand, seven hundred fifty-two".