10100045032 has 192 divisors, whose sum is σ = 25605512640. Its totient is φ = 3680409600.

The previous prime is 10100045017. The next prime is 10100045041. The reversal of 10100045032 is 23054000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100044997 and 10100045015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15466818 + ... + 15467470.

It is an arithmetic number, because the mean of its divisors is an integer number (133362045).

Almost surely, 2^10100045032 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 10100045032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802756320).

10100045032 is an abundant number, since it is smaller than the sum of its proper divisors (15505467608).

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

10100045032 is a wasteful number, since it uses less digits than its factorization.

10100045032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10100045032 its reverse (23054000101), we get a palindrome (33154045133).

The spelling of 10100045032 in words is "ten billion, one hundred million, forty-five thousand, thirty-two".