104137871616 has 297 divisors, whose sum is σ = 315603579319. Its totient is φ = 34294399488.

The previous prime is 104137871573. The next prime is 104137871641. The reversal of 104137871616 is 616178731401.

It is a happy number.

The square root of 104137871616 is 322704.

It is a perfect power (a square), and thus also a powerful number.

104137871616 is a `hidden beast` number, since 1 + 0 + 413 + 78 + 7 + 161 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1254673111 + ... + 1254673193.

Almost surely, 2^104137871616 is an apocalyptic number.

104137871616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104137871616 is the 322704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104137871616

104137871616 is an abundant number, since it is smaller than the sum of its proper divisors (211465707703).

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

104137871616 is an frugal number, since it uses more digits than its factorization.

104137871616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 104137871616 in words is "one hundred four billion, one hundred thirty-seven million, eight hundred seventy-one thousand, six hundred sixteen".