1020342100 has 72 divisors (see below), whose sum is σ = 2320351488. Its totient is φ = 388713600.

The previous prime is 1020342083. The next prime is 1020342109. The reversal of 1020342100 is 12430201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020342109) 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, 622482 + ... + 624118.

It is an arithmetic number, because the mean of its divisors is an integer number (32227104).

Almost surely, 2^1020342100 is an apocalyptic number.

1020342100 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 1020342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160175744).

1020342100 is an abundant number, since it is smaller than the sum of its proper divisors (1300009388).

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

1020342100 is a wasteful number, since it uses less digits than its factorization.

1020342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1020342100 is about 31942.7941795955. The cubic root of 1020342100 is about 1006.7352347683.

Adding to 1020342100 its reverse (12430201), we get a palindrome (1032772301).

The spelling of 1020342100 in words is "one billion, twenty million, three hundred forty-two thousand, one hundred".