105151616 has 16 divisors (see below), whose sum is σ = 209481990. Its totient is φ = 52575744.

The previous prime is 105151601. The next prime is 105151619. The reversal of 105151616 is 616151501.

It can be written as a sum of positive squares in only one way, i.e., 92929600 + 12222016 = 9640^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105151616² = 22113724694822912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105151619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410621 + ... + 410876.

Almost surely, 2^105151616 is an apocalyptic number.

105151616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105151616 is a deficient number, since it is larger than the sum of its proper divisors (104330374).

105151616 is an frugal number, since it uses more digits than its factorization.

105151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821511 (or 821499 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 105151616 is about 10254.3462005142. The cubic root of 105151616 is about 471.9963611708.

The spelling of 105151616 in words is "one hundred five million, one hundred fifty-one thousand, six hundred sixteen".