103570896 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 28454400.

The previous prime is 103570891. The next prime is 103570897. The reversal of 103570896 is 698075301.

It is a super-3 number, since 3×103570896³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103570891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 542161 + ... + 542351.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^103570896 is an apocalyptic number.

103570896 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 103570896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

103570896 is an abundant number, since it is smaller than the sum of its proper divisors (216408624).

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

103570896 is a wasteful number, since it uses less digits than its factorization.

103570896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 103570896 is about 10176.9787265180. The cubic root of 103570896 is about 469.6192721752.

The spelling of 103570896 in words is "one hundred three million, five hundred seventy thousand, eight hundred ninety-six".