105661516 has 36 divisors (see below), whose sum is σ = 194900160. Its totient is φ = 50068800.

The previous prime is 105661513. The next prime is 105661519. The reversal of 105661516 is 615166501.

It is an interprime number because it is at equal distance from previous prime (105661513) and next prime (105661519).

It is a super-2 number, since 2×105661516² = 22328711926836512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (105661513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461290 + ... + 461518.

Almost surely, 2^105661516 is an apocalyptic number.

It is an amenable number.

105661516 is a deficient number, since it is larger than the sum of its proper divisors (89238644).

105661516 is a wasteful number, since it uses less digits than its factorization.

105661516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105661516 is about 10279.1787609711. The cubic root of 105661516 is about 472.7580643786.

The spelling of 105661516 in words is "one hundred five million, six hundred sixty-one thousand, five hundred sixteen".