100512250398 has 192 divisors, whose sum is σ = 271164641280. Its totient is φ = 26257996800.

The previous prime is 100512250351. The next prime is 100512250403. The reversal of 100512250398 is 893052215001.

100512250398 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 12 + 250 + 398 = 666.

It is a Curzon number.

It is a congruent number.

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, 31242486 + ... + 31245702.

It is an arithmetic number, because the mean of its divisors is an integer number (1412315840).

Almost surely, 2^100512250398 is an apocalyptic number.

100512250398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100512250398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135582320640).

100512250398 is an abundant number, since it is smaller than the sum of its proper divisors (170652390882).

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

100512250398 is a wasteful number, since it uses less digits than its factorization.

100512250398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 100512250398 its reverse (893052215001), we get a palindrome (993564465399).

The spelling of 100512250398 in words is "one hundred billion, five hundred twelve million, two hundred fifty thousand, three hundred ninety-eight".