1051142680 has 64 divisors (see below), whose sum is σ = 2711854080. Its totient is φ = 359203200.

The previous prime is 1051142663. The next prime is 1051142689. The reversal of 1051142680 is 862411501.

1051142680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051142680² = 2209801867435164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051142689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81045 + ... + 93115.

It is an arithmetic number, because the mean of its divisors is an integer number (42372720).

Almost surely, 2^1051142680 is an apocalyptic number.

1051142680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355927040).

1051142680 is an abundant number, since it is smaller than the sum of its proper divisors (1660711400).

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

1051142680 is a wasteful number, since it uses less digits than its factorization.

1051142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1051142680 is about 32421.3306327794. The cubic root of 1051142680 is about 1016.7649265715.

The spelling of 1051142680 in words is "one billion, fifty-one million, one hundred forty-two thousand, six hundred eighty".