105101416 has 32 divisors (see below), whose sum is σ = 225570240. Its totient is φ = 44972928.

The previous prime is 105101411. The next prime is 105101453. The reversal of 105101416 is 614101501.

It is a super-2 number, since 2×105101416² = 22092615290410112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105101393 and 105101402.

It is not an unprimeable number, because it can be changed into a prime (105101411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51471 + ... + 53473.

It is an arithmetic number, because the mean of its divisors is an integer number (7049070).

Almost surely, 2^105101416 is an apocalyptic number.

It is an amenable number.

105101416 is an abundant number, since it is smaller than the sum of its proper divisors (120468824).

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

105101416 is a wasteful number, since it uses less digits than its factorization.

105101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 105101416 is about 10251.8981657057. The cubic root of 105101416 is about 471.9212379351.

Adding to 105101416 its reverse (614101501), we get a palindrome (719202917).

The spelling of 105101416 in words is "one hundred five million, one hundred one thousand, four hundred sixteen".