104206901760 has 1600 divisors, whose sum is σ = 439201889280. Its totient is φ = 23410114560.

The previous prime is 104206901693. The next prime is 104206901807. The reversal of 104206901760 is 67109602401.

104206901760 is a `hidden beast` number, since 1 + 0 + 420 + 69 + 0 + 176 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2423416299 + ... + 2423416341.

Almost surely, 2^104206901760 is an apocalyptic number.

104206901760 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 104206901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219600944640).

104206901760 is an abundant number, since it is smaller than the sum of its proper divisors (334994987520).

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

104206901760 is a wasteful number, since it uses less digits than its factorization.

104206901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 104206901760 in words is "one hundred four billion, two hundred six million, nine hundred one thousand, seven hundred sixty".