103515984121 has 15 divisors (see below), whose sum is σ = 113909714805. Its totient is φ = 94070048820.

The previous prime is 103515984119. The next prime is 103515984133. The reversal of 103515984121 is 121489515301.

The square root of 103515984121 is 321739.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 103515984121 - 2¹ = 103515984119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103515984101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38929090 + ... + 38931748.

It is an arithmetic number, because the mean of its divisors is an integer number (7593980987).

Almost surely, 2^103515984121 is an apocalyptic number.

103515984121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103515984121 is the 321739-th square number.

103515984121 is the 160870-th centered octagonal number.

It is an amenable number.

103515984121 is a deficient number, since it is larger than the sum of its proper divisors (10393730684).

103515984121 is an frugal number, since it uses more digits than its factorization.

103515984121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 103515984121 in words is "one hundred three billion, five hundred fifteen million, nine hundred eighty-four thousand, one hundred twenty-one".