103961520 has 240 divisors, whose sum is σ = 389975040. Its totient is φ = 24643584.

The previous prime is 103961519. The next prime is 103961531. The reversal of 103961520 is 25169301.

103961520 is a `hidden beast` number, since 10 + 39 + 615 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271249 + ... + 271631.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^103961520 is an apocalyptic number.

103961520 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 103961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

103961520 is an abundant number, since it is smaller than the sum of its proper divisors (286013520).

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

103961520 is a wasteful number, since it uses less digits than its factorization.

103961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103961520 is about 10196.1522154193. The cubic root of 103961520 is about 470.2089308004.

The spelling of 103961520 in words is "one hundred three million, nine hundred sixty-one thousand, five hundred twenty".