10108425600 has 1728 divisors, whose sum is σ = 49203882000. Its totient is φ = 1950842880.

The previous prime is 10108425577. The next prime is 10108425623. The reversal of 10108425600 is 652480101.

10108425600 is a `hidden beast` number, since 1 + 0 + 10 + 8 + 42 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (10108425577) and next prime (10108425623).

It is a super-2 number, since 2×10108425600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 348566386 + ... + 348566414.

Almost surely, 2^10108425600 is an apocalyptic number.

10108425600 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 10108425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601941000).

10108425600 is an abundant number, since it is smaller than the sum of its proper divisors (39095456400).

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

10108425600 is a wasteful number, since it uses less digits than its factorization.

10108425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10108425600 in words is "ten billion, one hundred eight million, four hundred twenty-five thousand, six hundred".