100223032515840 has 648 divisors, whose sum is σ = 375787747160280. Its totient is φ = 24650528587776.

The previous prime is 100223032515829. The next prime is 100223032515841. The reversal of 100223032515840 is 48515230322001.

100223032515840 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 30 + 32 + 515 + 84 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22196762286336 + 78026270229504 = 4711344^2 + 8833248^2 .

It is a super-2 number, since 2×100223032515840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100223032515795 and 100223032515804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223032515841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2509508352 + ... + 2509548288.

Almost surely, 2^{100223032515840} is an apocalyptic number.

100223032515840 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 100223032515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187893873580140).

100223032515840 is an abundant number, since it is smaller than the sum of its proper divisors (275564714644440).

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

100223032515840 is a wasteful number, since it uses less digits than its factorization.

100223032515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41279 (or 41249 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 100223032515840 its reverse (48515230322001), we get a palindrome (148738262837841).

The spelling of 100223032515840 in words is "one hundred trillion, two hundred twenty-three billion, thirty-two million, five hundred fifteen thousand, eight hundred forty".