1042053100 has 144 divisors (see below), whose sum is σ = 2636081280. Its totient is φ = 353548800.

The previous prime is 1042053091. The next prime is 1042053107. The reversal of 1042053100 is 13502401.

It is a super-2 number, since 2×1042053100² = 2171749326439220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042053107) 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 47 ways as a sum of consecutive naturals, for example, 1525359 + ... + 1526041.

It is an arithmetic number, because the mean of its divisors is an integer number (18306120).

Almost surely, 2^1042053100 is an apocalyptic number.

1042053100 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 1042053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318040640).

1042053100 is an abundant number, since it is smaller than the sum of its proper divisors (1594028180).

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

1042053100 is a wasteful number, since it uses less digits than its factorization.

1042053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1042053100 is about 32280.8472627346. The cubic root of 1042053100 is about 1013.8256699293.

Adding to 1042053100 its reverse (13502401), we get a palindrome (1055555501).

The spelling of 1042053100 in words is "one billion, forty-two million, fifty-three thousand, one hundred".