3105285401124 has 63 divisors (see below), whose sum is σ = 8147896666273. Its totient is φ = 1035063414432.

The previous prime is 3105285401093. The next prime is 3105285401219. The reversal of 3105285401124 is 4211045825013.

The square root of 3105285401124 is 1762182.

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

3105285401124 is a `hidden beast` number, since 3 + 1 + 0 + 52 + 85 + 401 + 124 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2161341022500 + 943944378624 = 1470150^2 + 971568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 95141512 + ... + 95174144.

Almost surely, 2^{3105285401124} is an apocalyptic number.

3105285401124 is the 1762182-nd square number.

It is an amenable number.

3105285401124 is an abundant number, since it is smaller than the sum of its proper divisors (5042611265149).

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

3105285401124 is an frugal number, since it uses more digits than its factorization.

3105285401124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65288 (or 32638 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 3105285401124 by its sum of digits (36), we get a square (111790274440464 = 10573092²).

3105285401124 divided by its sum of digits (36) gives a square (86257927809 = 293697²).

The spelling of 3105285401124 in words is "three trillion, one hundred five billion, two hundred eighty-five million, four hundred one thousand, one hundred twenty-four".