103958136 has 48 divisors (see below), whose sum is σ = 283795200. Its totient is φ = 34376832.

The previous prime is 103958131. The next prime is 103958149. The reversal of 103958136 is 631859301.

It is a happy number.

103958136 is a `hidden beast` number, since 10 + 39 + 581 + 36 = 666.

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 103958136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103958131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3460 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (5912400).

Almost surely, 2^103958136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103958136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141897600).

103958136 is an abundant number, since it is smaller than the sum of its proper divisors (179837064).

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

103958136 is a wasteful number, since it uses less digits than its factorization.

103958136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 103958136 is about 10195.9862691159. The cubic root of 103958136 is about 470.2038288990.

The spelling of 103958136 in words is "one hundred three million, nine hundred fifty-eight thousand, one hundred thirty-six".