103266556000 has 192 divisors, whose sum is σ = 263059078464. Its totient is φ = 39808512000.

The previous prime is 103266555923. The next prime is 103266556009. The reversal of 103266556000 is 655662301.

103266556000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103266556000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103266556009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15832740 + ... + 15839260.

It is an arithmetic number, because the mean of its divisors is an integer number (1370099367).

Almost surely, 2^103266556000 is an apocalyptic number.

103266556000 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 103266556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131529539232).

103266556000 is an abundant number, since it is smaller than the sum of its proper divisors (159792522464).

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

103266556000 is a wasteful number, since it uses less digits than its factorization.

103266556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 103266556000 in words is "one hundred three billion, two hundred sixty-six million, five hundred fifty-six thousand".