103374332200800 has 576 divisors, whose sum is σ = 374766439037760. Its totient is φ = 27500516720640.

The previous prime is 103374332200793. The next prime is 103374332200807. The reversal of 103374332200800 is 8002233473301.

103374332200800 is a `hidden beast` number, since 1 + 0 + 3 + 374 + 3 + 3 + 2 + 200 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103374332200793) and next prime (103374332200807).

It is a super-2 number, since 2×103374332200800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103374332200807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17783298694 + ... + 17783304506.

It is an arithmetic number, because the mean of its divisors is an integer number (650636178885).

Almost surely, 2^{103374332200800} is an apocalyptic number.

103374332200800 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 103374332200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187383219518880).

103374332200800 is an abundant number, since it is smaller than the sum of its proper divisors (271392106836960).

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

103374332200800 is a wasteful number, since it uses less digits than its factorization.

103374332200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 103374332200800 in words is "one hundred three trillion, three hundred seventy-four billion, three hundred thirty-two million, two hundred thousand, eight hundred".