106772107 has 8 divisors (see below), whose sum is σ = 115105536. Its totient is φ = 98455872.

The previous prime is 106772101. The next prime is 106772111. The reversal of 106772107 is 701277601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106772107 - 2²³ = 98383499 is a prime.

It is a super-2 number, since 2×106772107² = 22800565666438898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106772101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10518 + ... + 18004.

It is an arithmetic number, because the mean of its divisors is an integer number (14388192).

Almost surely, 2^106772107 is an apocalyptic number.

106772107 is a deficient number, since it is larger than the sum of its proper divisors (8333429).

106772107 is a wasteful number, since it uses less digits than its factorization.

106772107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597.

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 106772107 is about 10333.0589372170. The cubic root of 106772107 is about 474.4086558101.

The spelling of 106772107 in words is "one hundred six million, seven hundred seventy-two thousand, one hundred seven".