103132150017920 has 512 divisors, whose sum is σ = 272363902272000. Its totient is φ = 37197309542400.

The previous prime is 103132150017913. The next prime is 103132150017959. The reversal of 103132150017920 is 29710051231301.

It is a super-2 number, since 2×103132150017920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21845401160 + ... + 21845405880.

It is an arithmetic number, because the mean of its divisors is an integer number (531960746625).

Almost surely, 2^{103132150017920} is an apocalyptic number.

103132150017920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103132150017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181951136000).

103132150017920 is an abundant number, since it is smaller than the sum of its proper divisors (169231752254080).

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

103132150017920 is a wasteful number, since it uses less digits than its factorization.

103132150017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 103132150017920 in words is "one hundred three trillion, one hundred thirty-two billion, one hundred fifty million, seventeen thousand, nine hundred twenty".