1016106057 has 24 divisors (see below), whose sum is σ = 1488734208. Its totient is φ = 667766400.

The previous prime is 1016105971. The next prime is 1016106067. The reversal of 1016106057 is 7506016101.

It is not a de Polignac number, because 1016106057 - 2⁸ = 1016105801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1016106057.

It is not an unprimeable number, because it can be changed into a prime (1016106067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191632 + ... + 196862.

It is an arithmetic number, because the mean of its divisors is an integer number (62030592).

Almost surely, 2^1016106057 is an apocalyptic number.

It is an amenable number.

1016106057 is a deficient number, since it is larger than the sum of its proper divisors (472628151).

1016106057 is a wasteful number, since it uses less digits than its factorization.

1016106057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1016106057 is about 31876.4185096130. The cubic root of 1016106057 is about 1005.3401180448.

The spelling of 1016106057 in words is "one billion, sixteen million, one hundred six thousand, fifty-seven".