103626961200 has 1440 divisors, whose sum is σ = 467450081280. Its totient is φ = 21573734400.

The previous prime is 103626961129. The next prime is 103626961201. The reversal of 103626961200 is 2169626301.

It is a happy number.

103626961200 is a `hidden beast` number, since 1 + 0 + 3 + 626 + 9 + 6 + 1 + 20 + 0 = 666.

103626961200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103626961200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103626961201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3342805185 + ... + 3342805215.

It is an arithmetic number, because the mean of its divisors is an integer number (324618112).

Almost surely, 2^103626961200 is an apocalyptic number.

103626961200 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 103626961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233725040640).

103626961200 is an abundant number, since it is smaller than the sum of its proper divisors (363823120080).

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

103626961200 is an equidigital number, since it uses as much as digits as its factorization.

103626961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 103626961200 in words is "one hundred three billion, six hundred twenty-six million, nine hundred sixty-one thousand, two hundred".