103016100 has 288 divisors, whose sum is σ = 359976960. Its totient is φ = 22464000.

The previous prime is 103016083. The next prime is 103016113. The reversal of 103016100 is 1610301.

It is a super-2 number, since 2×103016100² = 21224633718420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1943674 + ... + 1943726.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^103016100 is an apocalyptic number.

103016100 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 103016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

103016100 is an abundant number, since it is smaller than the sum of its proper divisors (256960860).

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

103016100 is a wasteful number, since it uses less digits than its factorization.

103016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103016100 is about 10149.6847241675. The cubic root of 103016100 is about 468.7792372875.

Adding to 103016100 its reverse (1610301), we get a palindrome (104626401).

The spelling of 103016100 in words is "one hundred three million, sixteen thousand, one hundred".