1042162600 has 96 divisors (see below), whose sum is σ = 2517573240. Its totient is φ = 400896000.

The previous prime is 1042162573. The next prime is 1042162601. The reversal of 1042162600 is 62612401.

1042162600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 138438756 + 903723844 = 11766^2 + 30062^2 .

It is a super-2 number, since 2×1042162600² = 2172205769677520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042162601) 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, 597730 + ... + 599470.

Almost surely, 2^1042162600 is an apocalyptic number.

1042162600 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 1042162600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258786620).

1042162600 is an abundant number, since it is smaller than the sum of its proper divisors (1475410640).

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

1042162600 is a wasteful number, since it uses less digits than its factorization.

1042162600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1042162600 is about 32282.5432703187. The cubic root of 1042162600 is about 1013.8611799632.

The spelling of 1042162600 in words is "one billion, forty-two million, one hundred sixty-two thousand, six hundred".