1361607100 has 180 divisors, whose sum is σ = 3544788744. Its totient is φ = 453747840.

The previous prime is 1361607077. The next prime is 1361607113. The reversal of 1361607100 is 17061631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12725247 + ... + 12725353.

Almost surely, 2^1361607100 is an apocalyptic number.

1361607100 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 1361607100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772394372).

1361607100 is an abundant number, since it is smaller than the sum of its proper divisors (2183181644).

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

1361607100 is a wasteful number, since it uses less digits than its factorization.

1361607100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1361607100 is about 36899.9607045861. The cubic root of 1361607100 is about 1108.3678905815.

Adding to 1361607100 its reverse (17061631), we get a palindrome (1378668731).

The spelling of 1361607100 in words is "one billion, three hundred sixty-one million, six hundred seven thousand, one hundred".