106263425600 has 84 divisors (see below), whose sum is σ = 262204200000. Its totient is φ = 42386741760.

The previous prime is 106263425579. The next prime is 106263425621. The reversal of 106263425600 is 6524362601.

It is a happy number.

106263425600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106263425579) and next prime (106263425621).

It is a super-2 number, since 2×106263425600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481901 + ... + 666899.

Almost surely, 2^106263425600 is an apocalyptic number.

106263425600 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 106263425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131102100000).

106263425600 is an abundant number, since it is smaller than the sum of its proper divisors (155940774400).

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

106263425600 is a wasteful number, since it uses less digits than its factorization.

106263425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185380 (or 185365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 106263425600 in words is "one hundred six billion, two hundred sixty-three million, four hundred twenty-five thousand, six hundred".