103145142131535 has 128 divisors (see below), whose sum is σ = 200204362727424. Its totient is φ = 44267106723840.

The previous prime is 103145142131519. The next prime is 103145142131593. The reversal of 103145142131535 is 535131241541301.

It is not a de Polignac number, because 103145142131535 - 2⁴ = 103145142131519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103145142131493 and 103145142131502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178879140 + ... + 1178966630.

It is an arithmetic number, because the mean of its divisors is an integer number (1564096583808).

Almost surely, 2^{103145142131535} is an apocalyptic number.

103145142131535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103145142131535 is a deficient number, since it is larger than the sum of its proper divisors (97059220595889).

103145142131535 is a wasteful number, since it uses less digits than its factorization.

103145142131535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89173.

The product of its (nonzero) digits is 108000, while the sum is 39.

Adding to 103145142131535 its reverse (535131241541301), we get a palindrome (638276383672836).

The spelling of 103145142131535 in words is "one hundred three trillion, one hundred forty-five billion, one hundred forty-two million, one hundred thirty-one thousand, five hundred thirty-five".