103130100 has 216 divisors, whose sum is σ = 351609440. Its totient is φ = 25194240.

The previous prime is 103130059. The next prime is 103130107. The reversal of 103130100 is 1031301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632619 + ... + 632781.

Almost surely, 2^103130100 is an apocalyptic number.

103130100 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 103130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175804720).

103130100 is an abundant number, since it is smaller than the sum of its proper divisors (248479340).

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

103130100 is a wasteful number, since it uses less digits than its factorization.

103130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103130100 is about 10155.2991093320. The cubic root of 103130100 is about 468.9520941911.

Adding to 103130100 its reverse (1031301), we get a palindrome (104161401).

Multiplying 103130100 by its reverse (1031301), we get a square (106358175260100 = 10313010²).

103130100 divided by its reverse (1031301) gives a square (100 = 10²).

The spelling of 103130100 in words is "one hundred three million, one hundred thirty thousand, one hundred".