1004150633100 has 288 divisors, whose sum is σ = 3268348937280. Its totient is φ = 236753879040.

The previous prime is 1004150633081. The next prime is 1004150633191. The reversal of 1004150633100 is 13360514001.

It is a super-2 number, since 2×1004150633100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5380552 + ... + 5564048.

It is an arithmetic number, because the mean of its divisors is an integer number (11348433810).

Almost surely, 2^{1004150633100} is an apocalyptic number.

1004150633100 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 1004150633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634174468640).

1004150633100 is an abundant number, since it is smaller than the sum of its proper divisors (2264198304180).

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

1004150633100 is a wasteful number, since it uses less digits than its factorization.

1004150633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183597 (or 183590 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 1004150633100 in words is "one trillion, four billion, one hundred fifty million, six hundred thirty-three thousand, one hundred".