100136252040 has 256 divisors, whose sum is σ = 335529734400. Its totient is φ = 23703552000.

The previous prime is 100136252023. The next prime is 100136252071. The reversal of 100136252040 is 40252631001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100136252040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9727216 + ... + 9737504.

It is an arithmetic number, because the mean of its divisors is an integer number (1310663025).

Almost surely, 2^100136252040 is an apocalyptic number.

100136252040 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 100136252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167764867200).

100136252040 is an abundant number, since it is smaller than the sum of its proper divisors (235393482360).

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

100136252040 is a wasteful number, since it uses less digits than its factorization.

100136252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100136252040 its reverse (40252631001), we get a palindrome (140388883041).

The spelling of 100136252040 in words is "one hundred billion, one hundred thirty-six million, two hundred fifty-two thousand, forty".