10045520100 has 576 divisors, whose sum is σ = 40630732800. Its totient is φ = 2068416000.

The previous prime is 10045520087. The next prime is 10045520119. The reversal of 10045520100 is 102554001.

10045520100 is a `hidden beast` number, since 1 + 0 + 0 + 45 + 520 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43866786 + ... + 43867014.

Almost surely, 2^10045520100 is an apocalyptic number.

10045520100 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 10045520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315366400).

10045520100 is an abundant number, since it is smaller than the sum of its proper divisors (30585212700).

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

10045520100 is a wasteful number, since it uses less digits than its factorization.

10045520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10045520100 in words is "ten billion, forty-five million, five hundred twenty thousand, one hundred".