100815841350 has 864 divisors, whose sum is σ = 350836295040. Its totient is φ = 21207795840.

The previous prime is 100815841349. The next prime is 100815841351. The reversal of 100815841350 is 53148518001.

100815841350 is a `hidden beast` number, since 10 + 0 + 8 + 1 + 584 + 13 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (100815841349) and next prime (100815841351).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100815841351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1504714017 + ... + 1504714083.

Almost surely, 2^100815841350 is an apocalyptic number.

100815841350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100815841350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175418147520).

100815841350 is an abundant number, since it is smaller than the sum of its proper divisors (250020453690).

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

100815841350 is a wasteful number, since it uses less digits than its factorization.

100815841350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 100815841350 in words is "one hundred billion, eight hundred fifteen million, eight hundred forty-one thousand, three hundred fifty".