104952095136 has 288 divisors, whose sum is σ = 356072371200. Its totient is φ = 28691435520.

The previous prime is 104952095113. The next prime is 104952095141. The reversal of 104952095136 is 631590259401.

104952095136 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 520 + 95 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104952095136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104952095091 and 104952095100.

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 47 ways as a sum of consecutive naturals, for example, 5552710 + ... + 5571578.

It is an arithmetic number, because the mean of its divisors is an integer number (1236362400).

Almost surely, 2^104952095136 is an apocalyptic number.

104952095136 is a gapful number since it is divisible by the number (16) 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 104952095136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178036185600).

104952095136 is an abundant number, since it is smaller than the sum of its proper divisors (251120276064).

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

104952095136 is a wasteful number, since it uses less digits than its factorization.

104952095136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 19001 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 104952095136 in words is "one hundred four billion, nine hundred fifty-two million, ninety-five thousand, one hundred thirty-six".