106864947 has 32 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 60903360.

The previous prime is 106864939. The next prime is 106864951. The reversal of 106864947 is 749468601.

It is not a de Polignac number, because 106864947 - 2³ = 106864939 is a prime.

It is a super-2 number, since 2×106864947² = 22840233794625618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106864957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140047 + ... + 140807.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^106864947 is an apocalyptic number.

106864947 is a deficient number, since it is larger than the sum of its proper divisors (74552013).

106864947 is an equidigital number, since it uses as much as digits as its factorization.

106864947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106864947 is about 10337.5503384506. The cubic root of 106864947 is about 474.5461178662.

The spelling of 106864947 in words is "one hundred six million, eight hundred sixty-four thousand, nine hundred forty-seven".