106861947 has 16 divisors (see below), whose sum is σ = 150203520. Its totient is φ = 67392000.

The previous prime is 106861913. The next prime is 106861969. The reversal of 106861947 is 749168601.

It is not a de Polignac number, because 106861947 - 2¹² = 106857851 is a prime.

It is a super-2 number, since 2×106861947² = 22838951433261618, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106861899 and 106861908.

It is not an unprimeable number, because it can be changed into a prime (106861987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65947 + ... + 67547.

It is an arithmetic number, because the mean of its divisors is an integer number (9387720).

Almost surely, 2^106861947 is an apocalyptic number.

106861947 is a deficient number, since it is larger than the sum of its proper divisors (43341573).

106861947 is a wasteful number, since it uses less digits than its factorization.

106861947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 106861947 is about 10337.4052353577. The cubic root of 106861947 is about 474.5416772094.

The spelling of 106861947 in words is "one hundred six million, eight hundred sixty-one thousand, nine hundred forty-seven".