1377112100 has 144 divisors (see below), whose sum is σ = 3768675456. Its totient is φ = 425088000.

The previous prime is 1377112057. The next prime is 1377112123. The reversal of 1377112100 is 12117731.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371255 + ... + 374945.

Almost surely, 2^1377112100 is an apocalyptic number.

1377112100 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 1377112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884337728).

1377112100 is an abundant number, since it is smaller than the sum of its proper divisors (2391563356).

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

1377112100 is a wasteful number, since it uses less digits than its factorization.

1377112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 1377112100 is about 37109.4610577950. The cubic root of 1377112100 is about 1112.5591198646.

Adding to 1377112100 its reverse (12117731), we get a palindrome (1389229831).

The spelling of 1377112100 in words is "one billion, three hundred seventy-seven million, one hundred twelve thousand, one hundred".