10106416 has 20 divisors (see below), whose sum is σ = 19632424. Its totient is φ = 5040000.

The previous prime is 10106401. The next prime is 10106417. The reversal of 10106416 is 61460101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10106393 and 10106402.

It is not an unprimeable number, because it can be changed into a prime (10106417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9091 + ... + 10141.

Almost surely, 2^10106416 is an apocalyptic number.

10106416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10106416 is a deficient number, since it is larger than the sum of its proper divisors (9526008).

10106416 is a wasteful number, since it uses less digits than its factorization.

10106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10106416 is about 3179.0589802644. The cubic root of 10106416 is about 216.2049951451.

Adding to 10106416 its reverse (61460101), we get a palindrome (71566517).

The spelling of 10106416 in words is "ten million, one hundred six thousand, four hundred sixteen".