103540896 has 48 divisors (see below), whose sum is σ = 301996800. Its totient is φ = 34513344.

The previous prime is 103540889. The next prime is 103540979. The reversal of 103540896 is 698045301.

103540896 is a `hidden beast` number, since 103 + 540 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103540896³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103540896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59056 + ... + 60783.

It is an arithmetic number, because the mean of its divisors is an integer number (6291600).

Almost surely, 2^103540896 is an apocalyptic number.

103540896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103540896 is an abundant number, since it is smaller than the sum of its proper divisors (198455904).

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

103540896 is a wasteful number, since it uses less digits than its factorization.

103540896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119858 (or 119844 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 103540896 is about 10175.5047049274. The cubic root of 103540896 is about 469.5739250130.

The spelling of 103540896 in words is "one hundred three million, five hundred forty thousand, eight hundred ninety-six".