103733360640 has 2304 divisors, whose sum is σ = 501935616000. Its totient is φ = 20065812480.

The previous prime is 103733360629. The next prime is 103733360641. The reversal of 103733360640 is 46063337301.

103733360640 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 3 + 3 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×103733360640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103733360595 and 103733360604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103733360641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346237425 + ... + 3346237455.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^103733360640 is an apocalyptic number.

103733360640 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 103733360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808000).

103733360640 is an abundant number, since it is smaller than the sum of its proper divisors (398202255360).

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

103733360640 is a wasteful number, since it uses less digits than its factorization.

103733360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 103733360640 its reverse (46063337301), we get a palindrome (149796697941).

The spelling of 103733360640 in words is "one hundred three billion, seven hundred thirty-three million, three hundred sixty thousand, six hundred forty".