103249036800 has 1920 divisors, whose sum is σ = 483052416000. Its totient is φ = 21459271680.

The previous prime is 103249036771. The next prime is 103249036837. The reversal of 103249036800 is 8630942301.

103249036800 is a `hidden beast` number, since 103 + 2 + 490 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1541030367 + ... + 1541030433.

It is an arithmetic number, because the mean of its divisors is an integer number (251589800).

Almost surely, 2^103249036800 is an apocalyptic number.

103249036800 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 103249036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241526208000).

103249036800 is an abundant number, since it is smaller than the sum of its proper divisors (379803379200).

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

103249036800 is an equidigital number, since it uses as much as digits as its factorization.

103249036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 103249036800 in words is "one hundred three billion, two hundred forty-nine million, thirty-six thousand, eight hundred".