103123834641 has 45 divisors (see below), whose sum is σ = 159317230809. Its totient is φ = 66473703000.

The previous prime is 103123834633. The next prime is 103123834643. The reversal of 103123834641 is 146438321301.

The square root of 103123834641 is 321129.

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

103123834641 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 3 + 8 + 3 + 4 + 641 = 666.

It is not a de Polignac number, because 103123834641 - 2³ = 103123834633 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103123834596 and 103123834605.

It is not an unprimeable number, because it can be changed into a prime (103123834643) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89594416 + ... + 89595566.

Almost surely, 2^103123834641 is an apocalyptic number.

103123834641 is the 321129-th square number.

103123834641 is the 160565-th centered octagonal number.

It is an amenable number.

103123834641 is a deficient number, since it is larger than the sum of its proper divisors (56193396168).

103123834641 is an frugal number, since it uses more digits than its factorization.

103123834641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 103123834641 by its sum of digits (36), we get a square (3712458047076 = 1926774²).

The spelling of 103123834641 in words is "one hundred three billion, one hundred twenty-three million, eight hundred thirty-four thousand, six hundred forty-one".