103066636400 has 240 divisors, whose sum is σ = 312197809728. Its totient is φ = 31822848000.

The previous prime is 103066636397. The next prime is 103066636411. The reversal of 103066636400 is 4636660301.

103066636400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1457870 + ... + 1526930.

Almost surely, 2^103066636400 is an apocalyptic number.

103066636400 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 103066636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156098904864).

103066636400 is an abundant number, since it is smaller than the sum of its proper divisors (209131173328).

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

103066636400 is a wasteful number, since it uses less digits than its factorization.

103066636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69140 (or 69129 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 103066636400 in words is "one hundred three billion, sixty-six million, six hundred thirty-six thousand, four hundred".