104181674112 has 192 divisors, whose sum is σ = 305416121400. Its totient is φ = 34081800192.

The previous prime is 104181674101. The next prime is 104181674123. The reversal of 104181674112 is 211476181401.

It is a happy number.

104181674112 is a `hidden beast` number, since 1 + 0 + 4 + 181 + 67 + 411 + 2 = 666.

104181674112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104181674101) and next prime (104181674123).

It can be written as a sum of positive squares in 4 ways, for example, as 92304161856 + 11877512256 = 303816^2 + 108984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14042628 + ... + 14050044.

Almost surely, 2^104181674112 is an apocalyptic number.

104181674112 is a gapful number since it is divisible by the number (12) 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 104181674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152708060700).

104181674112 is an abundant number, since it is smaller than the sum of its proper divisors (201234447288).

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

104181674112 is a wasteful number, since it uses less digits than its factorization.

104181674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

It can be divided in two parts, 10418 and 1674112, that added together give a triangular number (1684530 = T₁₈₃₅).

The spelling of 104181674112 in words is "one hundred four billion, one hundred eighty-one million, six hundred seventy-four thousand, one hundred twelve".