100315415223040 has 144 divisors (see below), whose sum is σ = 242781299772480. Its totient is φ = 39711696076800.

The previous prime is 100315415223011. The next prime is 100315415223073. The reversal of 100315415223040 is 40322514513001.

It is a junction number, because it is equal to n+sod(n) for n = 100315415222993 and 100315415223011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47926390 + ... + 49975690.

It is an arithmetic number, because the mean of its divisors is an integer number (1685981248420).

Almost surely, 2^{100315415223040} is an apocalyptic number.

100315415223040 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 100315415223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121390649886240).

100315415223040 is an abundant number, since it is smaller than the sum of its proper divisors (142465884549440).

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

100315415223040 is a wasteful number, since it uses less digits than its factorization.

100315415223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049718 (or 2049704 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 100315415223040 its reverse (40322514513001), we get a palindrome (140637929736041).

The spelling of 100315415223040 in words is "one hundred trillion, three hundred fifteen billion, four hundred fifteen million, two hundred twenty-three thousand, forty".