104887222272 has 608 divisors, whose sum is σ = 372453484800. Its totient is φ = 28538044416.

The previous prime is 104887222247. The next prime is 104887222277. The reversal of 104887222272 is 272222788401.

It is a happy number.

104887222272 is a `hidden beast` number, since 10 + 488 + 72 + 2 + 22 + 72 = 666.

It is a super-2 number, since 2×104887222272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104887222277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436811228 + ... + 1436811300.

Almost surely, 2^104887222272 is an apocalyptic number.

104887222272 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 104887222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186226742400).

104887222272 is an abundant number, since it is smaller than the sum of its proper divisors (267566262528).

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

104887222272 is an frugal number, since it uses more digits than its factorization.

104887222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 104887222272 in words is "one hundred four billion, eight hundred eighty-seven million, two hundred twenty-two thousand, two hundred seventy-two".