103853960 has 64 divisors (see below), whose sum is σ = 268773120. Its totient is φ = 35377920.

The previous prime is 103853941. The next prime is 103854013. The reversal of 103853960 is 69358301.

It is a hoax number, since the sum of its digits (35) 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 103853960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45650 + ... + 47870.

It is an arithmetic number, because the mean of its divisors is an integer number (4199580).

Almost surely, 2^103853960 is an apocalyptic number.

103853960 is a gapful number since it is divisible by the number (10) 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 103853960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134386560).

103853960 is an abundant number, since it is smaller than the sum of its proper divisors (164919160).

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

103853960 is a wasteful number, since it uses less digits than its factorization.

103853960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 103853960 is about 10190.8763116819. The cubic root of 103853960 is about 470.0467133289.

The spelling of 103853960 in words is "one hundred three million, eight hundred fifty-three thousand, nine hundred sixty".