105436016 has 40 divisors (see below), whose sum is σ = 245758080. Its totient is φ = 42807744.

The previous prime is 105436003. The next prime is 105436033. The reversal of 105436016 is 610634501.

It is a super-2 number, since 2×105436016² = 22233506939904512, 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, 22646 + ... + 26901.

It is an arithmetic number, because the mean of its divisors is an integer number (6143952).

Almost surely, 2^105436016 is an apocalyptic number.

105436016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105436016 is an abundant number, since it is smaller than the sum of its proper divisors (140322064).

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

105436016 is a wasteful number, since it uses less digits than its factorization.

105436016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49581 (or 49575 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105436016 is about 10268.2041273048. The cubic root of 105436016 is about 472.4215089424.

The spelling of 105436016 in words is "one hundred five million, four hundred thirty-six thousand, sixteen".