103200096 has 96 divisors (see below), whose sum is σ = 295142400. Its totient is φ = 31449600.

The previous prime is 103200091. The next prime is 103200101. The reversal of 103200096 is 690002301.

It is an interprime number because it is at equal distance from previous prime (103200091) and next prime (103200101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51921 + ... + 53871.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^103200096 is an apocalyptic number.

103200096 is a gapful number since it is divisible by the number (16) 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 103200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

103200096 is an abundant number, since it is smaller than the sum of its proper divisors (191942304).

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

103200096 is a wasteful number, since it uses less digits than its factorization.

103200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 103200096 is about 10158.7448043545. The cubic root of 103200096 is about 469.0581652197.

Adding to 103200096 its reverse (690002301), we get a palindrome (793202397).

The spelling of 103200096 in words is "one hundred three million, two hundred thousand, ninety-six".