104251215100032 has 2560 divisors, whose sum is σ = 439780017600000. Its totient is φ = 24129975582720.

The previous prime is 104251215100007. The next prime is 104251215100049. The reversal of 104251215100032 is 230001512152401.

It is a happy number.

104251215100032 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 512 + 15 + 100 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104251215099969 and 104251215100005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14747657394 + ... + 14747664462.

It is an arithmetic number, because the mean of its divisors is an integer number (171789069375).

Almost surely, 2^{104251215100032} is an apocalyptic number.

104251215100032 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 104251215100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219890008800000).

104251215100032 is an abundant number, since it is smaller than the sum of its proper divisors (335528802499968).

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

104251215100032 is a wasteful number, since it uses less digits than its factorization.

104251215100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 104251215100032 its reverse (230001512152401), we get a palindrome (334252727252433).

The spelling of 104251215100032 in words is "one hundred four trillion, two hundred fifty-one billion, two hundred fifteen million, one hundred thousand, thirty-two".