104827193150400 has 420 divisors, whose sum is σ = 440363882042128. Its totient is φ = 23960501084160.

The previous prime is 104827193150369. The next prime is 104827193150423. The reversal of 104827193150400 is 4051391728401.

104827193150400 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 7 + 1 + 93 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56867929 + ... + 58682328.

Almost surely, 2^{104827193150400} is an apocalyptic number.

104827193150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104827193150400 is an abundant number, since it is smaller than the sum of its proper divisors (335536688891728).

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

104827193150400 is a wasteful number, since it uses less digits than its factorization.

104827193150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115550298 (or 115550274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 104827193150400 in words is "one hundred four trillion, eight hundred twenty-seven billion, one hundred ninety-three million, one hundred fifty thousand, four hundred".