105136408 has 32 divisors (see below), whose sum is σ = 213942960. Its totient is φ = 48147840.

The previous prime is 105136399. The next prime is 105136411. The reversal of 105136408 is 804631501.

It is a super-2 number, since 2×105136408² = 22107328574284928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9766 + ... + 17482.

Almost surely, 2^105136408 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 105136408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106971480).

105136408 is an abundant number, since it is smaller than the sum of its proper divisors (108806552).

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

105136408 is a wasteful number, since it uses less digits than its factorization.

105136408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105136408 is about 10253.6046344688. The cubic root of 105136408 is about 471.9736052462.

Adding to 105136408 its reverse (804631501), we get a palindrome (909767909).

The spelling of 105136408 in words is "one hundred five million, one hundred thirty-six thousand, four hundred eight".