100225823040 has 1680 divisors, whose sum is σ = 448022057472. Its totient is φ = 21152710656.

The previous prime is 100225822987. The next prime is 100225823041. The reversal of 100225823040 is 40328522001.

100225823040 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 582 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100225822995 and 100225823013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100225823041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1372956444 + ... + 1372956516.

Almost surely, 2^100225823040 is an apocalyptic number.

100225823040 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 100225823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224011028736).

100225823040 is an abundant number, since it is smaller than the sum of its proper divisors (347796234432).

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

100225823040 is a wasteful number, since it uses less digits than its factorization.

100225823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 100225823040 in words is "one hundred billion, two hundred twenty-five million, eight hundred twenty-three thousand, forty".