103853376 has 168 divisors, whose sum is σ = 334268064. Its totient is φ = 30551040.

The previous prime is 103853371. The next prime is 103853383. The reversal of 103853376 is 673358301.

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 103853376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103853371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234211 + ... + 234653.

Almost surely, 2^103853376 is an apocalyptic number.

103853376 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 103853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167134032).

103853376 is an abundant number, since it is smaller than the sum of its proper divisors (230414688).

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

103853376 is a wasteful number, since it uses less digits than its factorization.

103853376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 103853376 is about 10190.8476585611. The cubic root of 103853376 is about 470.0458322590.

The spelling of 103853376 in words is "one hundred three million, eight hundred fifty-three thousand, three hundred seventy-six".