103106726800 has 240 divisors, whose sum is σ = 310424095872. Its totient is φ = 31972147200.

The previous prime is 103106726797. The next prime is 103106726813. The reversal of 103106726800 is 8627601301.

It is a super-3 number, since 3×103106726800³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 6059104 + ... + 6076096.

Almost surely, 2^103106726800 is an apocalyptic number.

103106726800 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 103106726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155212047936).

103106726800 is an abundant number, since it is smaller than the sum of its proper divisors (207317369072).

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

103106726800 is a wasteful number, since it uses less digits than its factorization.

103106726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226 (or 17215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 103106726800 in words is "one hundred three billion, one hundred six million, seven hundred twenty-six thousand, eight hundred".