105135416 has 16 divisors (see below), whose sum is σ = 197767440. Its totient is φ = 52397440.

The previous prime is 105135409. The next prime is 105135427. The reversal of 105135416 is 614531501.

It is a super-2 number, since 2×105135416² = 22106911394986112, 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 3 ways as a sum of consecutive naturals, for example, 18641 + ... + 23616.

It is an arithmetic number, because the mean of its divisors is an integer number (12360465).

Almost surely, 2^105135416 is an apocalyptic number.

It is an amenable number.

105135416 is a deficient number, since it is larger than the sum of its proper divisors (92632024).

105135416 is a wasteful number, since it uses less digits than its factorization.

105135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42574 (or 42570 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105135416 is about 10253.5562611223. The cubic root of 105135416 is about 471.9721208277.

Adding to 105135416 its reverse (614531501), we get a palindrome (719666917).

The spelling of 105135416 in words is "one hundred five million, one hundred thirty-five thousand, four hundred sixteen".