103552215345 has 64 divisors (see below), whose sum is σ = 195125552640. Its totient is φ = 51924824064.

The previous prime is 103552215341. The next prime is 103552215353. The reversal of 103552215345 is 543512255301.

103552215345 is a `hidden beast` number, since 10 + 3 + 552 + 2 + 1 + 53 + 45 = 666.

It is not a de Polignac number, because 103552215345 - 2² = 103552215341 is a prime.

It is a super-3 number, since 3×103552215345³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103552215341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219124 + ... + 2265306.

It is an arithmetic number, because the mean of its divisors is an integer number (3048836760).

Almost surely, 2^103552215345 is an apocalyptic number.

103552215345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103552215345 is a deficient number, since it is larger than the sum of its proper divisors (91573337295).

103552215345 is a wasteful number, since it uses less digits than its factorization.

103552215345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47191 (or 47185 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 103552215345 in words is "one hundred three billion, five hundred fifty-two million, two hundred fifteen thousand, three hundred forty-five".