101416096 has 24 divisors (see below), whose sum is σ = 200709684. Its totient is φ = 50442240.

The previous prime is 101416057. The next prime is 101416121. The reversal of 101416096 is 690614101.

It can be written as a sum of positive squares in 2 ways, for example, as 79923600 + 21492496 = 8940^2 + 4636^2 .

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, 2035 + ... + 14386.

Almost surely, 2^101416096 is an apocalyptic number.

101416096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101416096 is a deficient number, since it is larger than the sum of its proper divisors (99293588).

101416096 is a wasteful number, since it uses less digits than its factorization.

101416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16624 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101416096 is about 10070.5558932961. Note that the first 3 decimals coincide. The cubic root of 101416096 is about 466.3396003054.

The spelling of 101416096 in words is "one hundred one million, four hundred sixteen thousand, ninety-six".