105672116 has 12 divisors (see below), whose sum is σ = 201737760. Its totient is φ = 48032760.

The previous prime is 105672101. The next prime is 105672131. The reversal of 105672116 is 611276501.

It is an interprime number because it is at equal distance from previous prime (105672101) and next prime (105672131).

It is a super-2 number, since 2×105672116² = 22333192199834912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1200776 + ... + 1200863.

It is an arithmetic number, because the mean of its divisors is an integer number (16811480).

Almost surely, 2^105672116 is an apocalyptic number.

It is an amenable number.

105672116 is a deficient number, since it is larger than the sum of its proper divisors (96065644).

105672116 is a wasteful number, since it uses less digits than its factorization.

105672116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401654 (or 2401652 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105672116 is about 10279.6943534329. The cubic root of 105672116 is about 472.7738729344.

The spelling of 105672116 in words is "one hundred five million, six hundred seventy-two thousand, one hundred sixteen".