103540132125 has 48 divisors (see below), whose sum is σ = 194763538944. Its totient is φ = 52820460000.

The previous prime is 103540132099. The next prime is 103540132127. The reversal of 103540132125 is 521231045301.

103540132125 is a `hidden beast` number, since 10 + 35 + 401 + 3 + 212 + 5 = 666.

It is not a de Polignac number, because 103540132125 - 2¹⁶ = 103540066589 is a prime.

It is a super-3 number, since 3×103540132125³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974901 + ... + 2026650.

It is an arithmetic number, because the mean of its divisors is an integer number (4057573728).

Almost surely, 2^103540132125 is an apocalyptic number.

103540132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103540132125 is a deficient number, since it is larger than the sum of its proper divisors (91223406819).

103540132125 is a wasteful number, since it uses less digits than its factorization.

103540132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001595 (or 4001582 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 103540132125 its reverse (521231045301), we get a palindrome (624771177426).

The spelling of 103540132125 in words is "one hundred three billion, five hundred forty million, one hundred thirty-two thousand, one hundred twenty-five".