100045223040 has 512 divisors, whose sum is σ = 388485849600. Its totient is φ = 21377581056.

The previous prime is 100045223021. The next prime is 100045223053. The reversal of 100045223040 is 40322540001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100045222998 and 100045223016.

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, 35869966 + ... + 35872754.

It is an arithmetic number, because the mean of its divisors is an integer number (758761425).

Almost surely, 2^100045223040 is an apocalyptic number.

100045223040 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 100045223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194242924800).

100045223040 is an abundant number, since it is smaller than the sum of its proper divisors (288440626560).

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

100045223040 is a wasteful number, since it uses less digits than its factorization.

100045223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 100045223040 its reverse (40322540001), we get a palindrome (140367763041).

The spelling of 100045223040 in words is "one hundred billion, forty-five million, two hundred twenty-three thousand, forty".