103801651200 has 1152 divisors, whose sum is σ = 433458975600. Its totient is φ = 24206376960.

The previous prime is 103801651189. The next prime is 103801651229. The reversal of 103801651200 is 2156108301.

103801651200 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 1 + 651 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×103801651200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5463244791 + ... + 5463244809.

Almost surely, 2^103801651200 is an apocalyptic number.

103801651200 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 103801651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216729487800).

103801651200 is an abundant number, since it is smaller than the sum of its proper divisors (329657324400).

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

103801651200 is an equidigital number, since it uses as much as digits as its factorization.

103801651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 103801651200 its reverse (2156108301), we get a palindrome (105957759501).

The spelling of 103801651200 in words is "one hundred three billion, eight hundred one million, six hundred fifty-one thousand, two hundred".