100112451040 has 144 divisors (see below), whose sum is σ = 277810821792. Its totient is φ = 33396074496.

The previous prime is 100112451017. The next prime is 100112451041. The reversal of 100112451040 is 40154211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112450999 and 100112451017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112451041) 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 23 ways as a sum of consecutive naturals, for example, 1500634 + ... + 1565926.

It is an arithmetic number, because the mean of its divisors is an integer number (1929241818).

Almost surely, 2^100112451040 is an apocalyptic number.

100112451040 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 100112451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138905410896).

100112451040 is an abundant number, since it is smaller than the sum of its proper divisors (177698370752).

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

100112451040 is an equidigital number, since it uses as much as digits as its factorization.

100112451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65389 (or 65344 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 100112451040 its reverse (40154211001), we get a palindrome (140266662041).

The spelling of 100112451040 in words is "one hundred billion, one hundred twelve million, four hundred fifty-one thousand, forty".