100125333360 has 320 divisors, whose sum is σ = 374823926400. Its totient is φ = 24419377152.

The previous prime is 100125333337. The next prime is 100125333379. The reversal of 100125333360 is 63333521001.

It is a happy number.

It is a super-2 number, since 2×100125333360² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 3044364 + ... + 3077076.

It is an arithmetic number, because the mean of its divisors is an integer number (1171324770).

Almost surely, 2^100125333360 is an apocalyptic number.

100125333360 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 100125333360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187411963200).

100125333360 is an abundant number, since it is smaller than the sum of its proper divisors (274698593040).

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

100125333360 is a wasteful number, since it uses less digits than its factorization.

100125333360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32857 (or 32845 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 100125333360 its reverse (63333521001), we get a palindrome (163458854361).

The spelling of 100125333360 in words is "one hundred billion, one hundred twenty-five million, three hundred thirty-three thousand, three hundred sixty".