104510251106100 has 432 divisors, whose sum is σ = 396500860654080. Its totient is φ = 22491947808000.

The previous prime is 104510251106083. The next prime is 104510251106117. The reversal of 104510251106100 is 1601152015401.

104510251106100 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 10 + 25 + 1 + 10 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104510251106083) and next prime (104510251106117).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16832875 + ... + 22189325.

Almost surely, 2^{104510251106100} is an apocalyptic number.

104510251106100 is a gapful number since it is divisible by the number (10) 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 104510251106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198250430327040).

104510251106100 is an abundant number, since it is smaller than the sum of its proper divisors (291990609547980).

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

104510251106100 is a wasteful number, since it uses less digits than its factorization.

104510251106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356660 (or 5356650 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 104510251106100 in words is "one hundred four trillion, five hundred ten billion, two hundred fifty-one million, one hundred six thousand, one hundred".