1005672150 has 288 divisors, whose sum is σ = 3255595200. Its totient is φ = 217728000.

The previous prime is 1005672119. The next prime is 1005672181. The reversal of 1005672150 is 512765001.

It is an interprime number because it is at equal distance from previous prime (1005672119) and next prime (1005672181).

It is a super-2 number, since 2×1005672150² = 2022752946571245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 9226296 + ... + 9226404.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^1005672150 is an apocalyptic number.

1005672150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005672150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

1005672150 is an abundant number, since it is smaller than the sum of its proper divisors (2249923050).

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

1005672150 is a wasteful number, since it uses less digits than its factorization.

1005672150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1005672150 is about 31712.3343511637. The cubic root of 1005672150 is about 1001.8871530797.

The spelling of 1005672150 in words is "one billion, five million, six hundred seventy-two thousand, one hundred fifty".