104766152976 has 225 divisors, whose sum is σ = 312928116501. Its totient is φ = 33978211776.

The previous prime is 104766152971. The next prime is 104766152983. The reversal of 104766152976 is 679251667401.

The square root of 104766152976 is 323676.

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

104766152976 is a `hidden beast` number, since 1 + 0 + 47 + 6 + 6 + 1 + 529 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93746192400 + 11019960576 = 306180^2 + 104976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104766152971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2831517630 + ... + 2831517666.

Almost surely, 2^104766152976 is an apocalyptic number.

104766152976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104766152976 is the 323676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104766152976

104766152976 is an abundant number, since it is smaller than the sum of its proper divisors (208161963525).

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

104766152976 is an frugal number, since it uses more digits than its factorization.

104766152976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 104766152976 in words is "one hundred four billion, seven hundred sixty-six million, one hundred fifty-two thousand, nine hundred seventy-six".