1005665150 has 48 divisors (see below), whose sum is σ = 2144862720. Its totient is φ = 343653600.

The previous prime is 1005665147. The next prime is 1005665153. The reversal of 1005665150 is 515665001.

It is an interprime number because it is at equal distance from previous prime (1005665147) and next prime (1005665153).

It is a super-2 number, since 2×1005665150² = 2022724787849045000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005665153) 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, 104231 + ... + 113469.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 2^1005665150 is an apocalyptic number.

1005665150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005665150 is an abundant number, since it is smaller than the sum of its proper divisors (1139197570).

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

1005665150 is a wasteful number, since it uses less digits than its factorization.

1005665150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 1005665150 is about 31712.2239838205. The cubic root of 1005665150 is about 1001.8848285228.

The spelling of 1005665150 in words is "one billion, five million, six hundred sixty-five thousand, one hundred fifty".