103134406553460 has 144 divisors (see below), whose sum is σ = 313600047336576. Its totient is φ = 27435862169856.

The previous prime is 103134406553417. The next prime is 103134406553461. The reversal of 103134406553460 is 64355604431301.

103134406553460 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 34 + 4 + 0 + 6 + 553 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103134406553461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123170569 + ... + 124005071.

It is an arithmetic number, because the mean of its divisors is an integer number (2177778106504).

Almost surely, 2^{103134406553460} is an apocalyptic number.

103134406553460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103134406553460 is an abundant number, since it is smaller than the sum of its proper divisors (210465640783116).

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

103134406553460 is a wasteful number, since it uses less digits than its factorization.

103134406553460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836182 (or 836177 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 103134406553460 in words is "one hundred three trillion, one hundred thirty-four billion, four hundred six million, five hundred fifty-three thousand, four hundred sixty".