1345242100 has 72 divisors (see below), whose sum is σ = 3000745440. Its totient is φ = 523178880.

The previous prime is 1345242091. The next prime is 1345242121. The reversal of 1345242100 is 12425431.

It is a super-2 number, since 2×1345242100² = 3619352615224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156119 + ... + 1157281.

It is an arithmetic number, because the mean of its divisors is an integer number (41677020).

Almost surely, 2^1345242100 is an apocalyptic number.

1345242100 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 1345242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500372720).

1345242100 is an abundant number, since it is smaller than the sum of its proper divisors (1655503340).

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

1345242100 is a wasteful number, since it uses less digits than its factorization.

1345242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1345242100 is about 36677.5421750149. The cubic root of 1345242100 is about 1103.9095321180.

Adding to 1345242100 its reverse (12425431), we get a palindrome (1357667531).

The spelling of 1345242100 in words is "one billion, three hundred forty-five million, two hundred forty-two thousand, one hundred".