103311727400 has 144 divisors (see below), whose sum is σ = 281459245500. Its totient is φ = 35162158080.

The previous prime is 103311727397. The next prime is 103311727499. The reversal of 103311727400 is 4727113301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51102219364 + 52209508036 = 226058^2 + 228494^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1304126 + ... + 1381074.

Almost surely, 2^103311727400 is an apocalyptic number.

103311727400 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 103311727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140729622750).

103311727400 is an abundant number, since it is smaller than the sum of its proper divisors (178147518100).

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

103311727400 is a wasteful number, since it uses less digits than its factorization.

103311727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77116 (or 77100 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 103311727400 in words is "one hundred three billion, three hundred eleven million, seven hundred twenty-seven thousand, four hundred".