1023434100 has 108 divisors (see below), whose sum is σ = 3454698156. Its totient is φ = 251919360.

The previous prime is 1023434053. The next prime is 1023434101. The reversal of 1023434100 is 14343201.

It can be written as a sum of positive squares in 6 ways, for example, as 11048976 + 1012385124 = 3324^2 + 31818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023434101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32037 + ... + 55436.

Almost surely, 2^1023434100 is an apocalyptic number.

1023434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023434100 is an abundant number, since it is smaller than the sum of its proper divisors (2431264056).

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

1023434100 is a wasteful number, since it uses less digits than its factorization.

1023434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87506 (or 87496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023434100 is about 31991.1565905330. The cubic root of 1023434100 is about 1007.7511313993.

Adding to 1023434100 its reverse (14343201), we get a palindrome (1037777301).

The spelling of 1023434100 in words is "one billion, twenty-three million, four hundred thirty-four thousand, one hundred".