100225559040 has 640 divisors, whose sum is σ = 355740802560. Its totient is φ = 23957864448.

The previous prime is 100225559039. The next prime is 100225559047. The reversal of 100225559040 is 40955522001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 100225558992 and 100225559010.

It is not an unprimeable number, because it can be changed into a prime (100225559047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389982592 + ... + 389982848.

It is an arithmetic number, because the mean of its divisors is an integer number (555845004).

Almost surely, 2^100225559040 is an apocalyptic number.

100225559040 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 100225559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177870401280).

100225559040 is an abundant number, since it is smaller than the sum of its proper divisors (255515243520).

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

100225559040 is a wasteful number, since it uses less digits than its factorization.

100225559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 100225559040 in words is "one hundred billion, two hundred twenty-five million, five hundred fifty-nine thousand, forty".