102400103 has 8 divisors (see below), whose sum is σ = 110552400. Its totient is φ = 94287168.

The previous prime is 102400069. The next prime is 102400121. The reversal of 102400103 is 301004201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102400103 - 2²⁰ = 101351527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4313 + ... + 14946.

It is an arithmetic number, because the mean of its divisors is an integer number (13819050).

Almost surely, 2^102400103 is an apocalyptic number.

102400103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102400103 is a deficient number, since it is larger than the sum of its proper divisors (8152297).

102400103 is a wasteful number, since it uses less digits than its factorization.

102400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102400103 is about 10119.2936018281. The cubic root of 102400103 is about 467.8429949754.

Adding to 102400103 its reverse (301004201), we get a palindrome (403404304).

The spelling of 102400103 in words is "one hundred two million, four hundred thousand, one hundred three".