103461696 has 168 divisors, whose sum is σ = 328126344. Its totient is φ = 30965760.

The previous prime is 103461691. The next prime is 103461713. The reversal of 103461696 is 696164301.

103461696 is a `hidden beast` number, since 1 + 0 + 34 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 99201600 = 2064^2 + 9960^2 .

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 103461696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103461691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306840 + ... + 307176.

It is an arithmetic number, because the mean of its divisors is an integer number (1953133).

Almost surely, 2^103461696 is an apocalyptic number.

103461696 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 103461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164063172).

103461696 is an abundant number, since it is smaller than the sum of its proper divisors (224664648).

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

103461696 is a wasteful number, since it uses less digits than its factorization.

103461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 103461696 is about 10171.6122615837. The cubic root of 103461696 is about 469.4541664030.

The spelling of 103461696 in words is "one hundred three million, four hundred sixty-one thousand, six hundred ninety-six".