1016506900 has 36 divisors (see below), whose sum is σ = 2213843548. Its totient is φ = 405123840.

The previous prime is 1016506879. The next prime is 1016506943. The reversal of 1016506900 is 96056101.

It can be written as a sum of positive squares in 6 ways, for example, as 209265156 + 807241744 = 14466^2 + 28412^2 .

It is a super-2 number, since 2×1016506900² = 2066572555495220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9352 + ... + 46048.

Almost surely, 2^1016506900 is an apocalyptic number.

1016506900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016506900 is an abundant number, since it is smaller than the sum of its proper divisors (1197336648).

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

1016506900 is a wasteful number, since it uses less digits than its factorization.

1016506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36988 (or 36981 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1016506900 is about 31882.7053431794. The cubic root of 1016506900 is about 1005.4722993156.

The spelling of 1016506900 in words is "one billion, sixteen million, five hundred six thousand, nine hundred".