100145205252 has 96 divisors (see below), whose sum is σ = 272011837440. Its totient is φ = 31822670880.

The previous prime is 100145205247. The next prime is 100145205331. The reversal of 100145205252 is 252502541001.

100145205252 is a `hidden beast` number, since 100 + 14 + 5 + 20 + 525 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093 + ... + 447539.

It is an arithmetic number, because the mean of its divisors is an integer number (2833456640).

Almost surely, 2^100145205252 is an apocalyptic number.

100145205252 is a gapful number since it is divisible by the number (12) 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 100145205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136005918720).

100145205252 is an abundant number, since it is smaller than the sum of its proper divisors (171866632188).

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

100145205252 is a wasteful number, since it uses less digits than its factorization.

100145205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446558 (or 446550 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 100145205252 its reverse (252502541001), we get a palindrome (352647746253).

The spelling of 100145205252 in words is "one hundred billion, one hundred forty-five million, two hundred five thousand, two hundred fifty-two".