100537250112 has 896 divisors, whose sum is σ = 349603161600. Its totient is φ = 28092137472.

The previous prime is 100537250089. The next prime is 100537250153. The reversal of 100537250112 is 211052735001.

100537250112 is a `hidden beast` number, since 10 + 0 + 537 + 2 + 5 + 0 + 112 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1036466448 + ... + 1036466544.

It is an arithmetic number, because the mean of its divisors is an integer number (390182100).

Almost surely, 2^100537250112 is an apocalyptic number.

100537250112 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 100537250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174801580800).

100537250112 is an abundant number, since it is smaller than the sum of its proper divisors (249065911488).

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

100537250112 is a wasteful number, since it uses less digits than its factorization.

100537250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 100537250112 its reverse (211052735001), we get a palindrome (311589985113).

The spelling of 100537250112 in words is "one hundred billion, five hundred thirty-seven million, two hundred fifty thousand, one hundred twelve".