103554315153 has 24 divisors (see below), whose sum is σ = 149992020360. Its totient is φ = 68845593600.

The previous prime is 103554315127. The next prime is 103554315169. The reversal of 103554315153 is 351513455301.

103554315153 is a `hidden beast` number, since 1 + 0 + 3 + 554 + 3 + 1 + 51 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10936348929 + 92617966224 = 104577^2 + 304332^2 .

It is a de Polignac number, because none of the positive numbers 2^k-103554315153 is a prime.

It is a super-3 number, since 3×103554315153³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103554315173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144733 + ... + 5164821.

It is an arithmetic number, because the mean of its divisors is an integer number (6249667515).

Almost surely, 2^103554315153 is an apocalyptic number.

It is an amenable number.

103554315153 is a deficient number, since it is larger than the sum of its proper divisors (46437705207).

103554315153 is a wasteful number, since it uses less digits than its factorization.

103554315153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21649 (or 21646 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 103554315153 in words is "one hundred three billion, five hundred fifty-four million, three hundred fifteen thousand, one hundred fifty-three".