103207104 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 24606720.

The previous prime is 103207103. The next prime is 103207121. The reversal of 103207104 is 401702301.

103207104 = T₂₆₇ + T₂₆₈ + ... + T₈₆₀.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103207103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576487 + ... + 576665.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^103207104 is an apocalyptic number.

103207104 is a gapful number since it is divisible by the number (14) 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 103207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

103207104 is an abundant number, since it is smaller than the sum of its proper divisors (296202816).

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

103207104 is a wasteful number, since it uses less digits than its factorization.

103207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103207104 is about 10159.0897230018. The cubic root of 103207104 is about 469.0687824101.

Adding to 103207104 its reverse (401702301), we get a palindrome (504909405).

It can be divided in two parts, 10320 and 7104, that added together give a square (17424 = 132²).

The spelling of 103207104 in words is "one hundred three million, two hundred seven thousand, one hundred four".