10055695104 has 540 divisors, whose sum is σ = 37416164016. Its totient is φ = 2615721984.

The previous prime is 10055695093. The next prime is 10055695157. The reversal of 10055695104 is 40159655001.

10055695104 is a `hidden beast` number, since 1 + 0 + 0 + 556 + 95 + 10 + 4 = 666.

10055695104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10055695104² (a number of 21 digits) contains 22 as substring.

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

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 59 ways as a sum of consecutive naturals, for example, 137749212 + ... + 137749284.

Almost surely, 2^10055695104 is an apocalyptic number.

10055695104 is a gapful number since it is divisible by the number (14) 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 10055695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708082008).

10055695104 is an abundant number, since it is smaller than the sum of its proper divisors (27360468912).

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

10055695104 is an frugal number, since it uses more digits than its factorization.

10055695104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10055695104 in words is "ten billion, fifty-five million, six hundred ninety-five thousand, one hundred four".