10426668338100 has 144 divisors (see below), whose sum is σ = 34493111549568. Its totient is φ = 2382160488960.

The previous prime is 10426668338077. The next prime is 10426668338113. The reversal of 10426668338100 is 183386662401.

It is a super-2 number, since 2×10426668338100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10426668338100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3525502 + ... + 5769098.

It is an arithmetic number, because the mean of its divisors is an integer number (239535496872).

Almost surely, 2^{10426668338100} is an apocalyptic number.

10426668338100 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 10426668338100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246555774784).

10426668338100 is an abundant number, since it is smaller than the sum of its proper divisors (24066443211468).

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

10426668338100 is a wasteful number, since it uses less digits than its factorization.

10426668338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245834 (or 2245827 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 10426668338100 in words is "ten trillion, four hundred twenty-six billion, six hundred sixty-eight million, three hundred thirty-eight thousand, one hundred".