1516106304 has 42 divisors (see below), whose sum is σ = 4345646630. Its totient is φ = 505368576.

The previous prime is 1516106297. The next prime is 1516106321. The reversal of 1516106304 is 4036016151.

1516106304 is a `hidden beast` number, since 1 + 5 + 16 + 10 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1249763904 + 266342400 = 35352^2 + 16320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1315489 + ... + 1316640.

Almost surely, 2^1516106304 is an apocalyptic number.

It is an amenable number.

1516106304 is an abundant number, since it is smaller than the sum of its proper divisors (2829540326).

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

1516106304 is a wasteful number, since it uses less digits than its factorization.

1516106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632147 (or 2632134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1516106304 is about 38937.2097613581. The cubic root of 1516106304 is about 1148.7968018212.

The spelling of 1516106304 in words is "one billion, five hundred sixteen million, one hundred six thousand, three hundred four".