103661415562544 has 160 divisors (see below), whose sum is σ = 243192706099200. Its totient is φ = 41813668316160.

The previous prime is 103661415562489. The next prime is 103661415562547. The reversal of 103661415562544 is 445265514166301.

It is not an unprimeable number, because it can be changed into a prime (103661415562547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645686634 + ... + 2645725814.

It is an arithmetic number, because the mean of its divisors is an integer number (1519954413120).

Almost surely, 2^{103661415562544} is an apocalyptic number.

103661415562544 is a gapful number since it is divisible by the number (14) 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 103661415562544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121596353049600).

103661415562544 is an abundant number, since it is smaller than the sum of its proper divisors (139531290536656).

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

103661415562544 is a wasteful number, since it uses less digits than its factorization.

103661415562544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47291 (or 47285 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 53.

The spelling of 103661415562544 in words is "one hundred three trillion, six hundred sixty-one billion, four hundred fifteen million, five hundred sixty-two thousand, five hundred forty-four".