100472241770136 has 288 divisors, whose sum is σ = 300055287168000. Its totient is φ = 30285132045696.

The previous prime is 100472241770123. The next prime is 100472241770207. The reversal of 100472241770136 is 631077142274001.

100472241770136 is a `hidden beast` number, since 1 + 0 + 0 + 472 + 2 + 4 + 177 + 0 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×100472241770136² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100472241770091 and 100472241770100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346493965 + ... + 346783811.

It is an arithmetic number, because the mean of its divisors is an integer number (1041858636000).

Almost surely, 2^{100472241770136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100472241770136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150027643584000).

100472241770136 is an abundant number, since it is smaller than the sum of its proper divisors (199583045397864).

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

100472241770136 is a wasteful number, since it uses less digits than its factorization.

100472241770136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290403 (or 290373 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 100472241770136 in words is "one hundred trillion, four hundred seventy-two billion, two hundred forty-one million, seven hundred seventy thousand, one hundred thirty-six".