104154829632 has 252 divisors, whose sum is σ = 352472122080. Its totient is φ = 29313833472.

The previous prime is 104154829591. The next prime is 104154829673. The reversal of 104154829632 is 236928451401.

104154829632 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 4 + 8 + 2 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (104154829591) and next prime (104154829673).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1863469 + ... + 1918547.

Almost surely, 2^104154829632 is an apocalyptic number.

104154829632 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 104154829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176236061040).

104154829632 is an abundant number, since it is smaller than the sum of its proper divisors (248317292448).

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

104154829632 is a wasteful number, since it uses less digits than its factorization.

104154829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55178 (or 55158 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 104154829632 in words is "one hundred four billion, one hundred fifty-four million, eight hundred twenty-nine thousand, six hundred thirty-two".