104076111132900 has 405 divisors, whose sum is σ = 339448883006233. Its totient is φ = 27583953796800.

The previous prime is 104076111132883. The next prime is 104076111132901. The reversal of 104076111132900 is 9231111670401.

The square root of 104076111132900 is 10201770.

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

104076111132900 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 611 + 1 + 1 + 32 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37467400007844 + 66608711125056 = 6121062^2 + 8161416^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104076111132901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 241475895685 + ... + 241475896115.

Almost surely, 2^{104076111132900} is an apocalyptic number.

104076111132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104076111132900 is the 10201770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104076111132900

104076111132900 is an abundant number, since it is smaller than the sum of its proper divisors (235372771873333).

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

104076111132900 is an frugal number, since it uses more digits than its factorization.

104076111132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

104076111132900 divided by its sum of digits (36) gives a square (2891003087025 = 1700295²).

The spelling of 104076111132900 in words is "one hundred four trillion, seventy-six billion, one hundred eleven million, one hundred thirty-two thousand, nine hundred".