103663403366040 has 192 divisors, whose sum is σ = 385101857986560. Its totient is φ = 23690408520960.

The previous prime is 103663403365993. The next prime is 103663403366053. The reversal of 103663403366040 is 40663304366301.

103663403366040 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 6 + 3 + 4 + 0 + 3 + 36 + 604 + 0 = 666.

It is a super-2 number, since 2×103663403366040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11091685 + ... + 18175595.

It is an arithmetic number, because the mean of its divisors is an integer number (2005738843680).

Almost surely, 2^{103663403366040} is an apocalyptic number.

103663403366040 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 103663403366040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192550928993280).

103663403366040 is an abundant number, since it is smaller than the sum of its proper divisors (281438454620520).

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

103663403366040 is a wasteful number, since it uses less digits than its factorization.

103663403366040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089742 (or 7089735 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 103663403366040 in words is "one hundred three trillion, six hundred sixty-three billion, four hundred three million, three hundred sixty-six thousand, forty".