100425709887776 has 1728 divisors, whose sum is σ = 282994678713600. Its totient is φ = 34683905507328.

The previous prime is 100425709887731. The next prime is 100425709887779. The reversal of 100425709887776 is 677788907524001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100425709887779) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 888723096296 + ... + 888723096408.

It is an arithmetic number, because the mean of its divisors is an integer number (163770068700).

Almost surely, 2^{100425709887776} is an apocalyptic number.

100425709887776 is a gapful number since it is divisible by the number (16) 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 100425709887776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141497339356800).

100425709887776 is an abundant number, since it is smaller than the sum of its proper divisors (182568968825824).

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

100425709887776 is a wasteful number, since it uses less digits than its factorization.

100425709887776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 71.

The spelling of 100425709887776 in words is "one hundred trillion, four hundred twenty-five billion, seven hundred nine million, eight hundred eighty-seven thousand, seven hundred seventy-six".