1056345150 has 384 divisors, whose sum is σ = 3455778816. Its totient is φ = 207820800.

The previous prime is 1056345137. The next prime is 1056345151. The reversal of 1056345150 is 515436501.

It is a super-2 number, since 2×1056345150² = 2231730151857045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056345151) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12727009 + ... + 12727091.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^1056345150 is an apocalyptic number.

1056345150 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 1056345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727889408).

1056345150 is an abundant number, since it is smaller than the sum of its proper divisors (2399433666).

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

1056345150 is a wasteful number, since it uses less digits than its factorization.

1056345150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1056345150 is about 32501.4638131885. The cubic root of 1056345150 is about 1018.4396075985.

The spelling of 1056345150 in words is "one billion, fifty-six million, three hundred forty-five thousand, one hundred fifty".