106261747 has 16 divisors (see below), whose sum is σ = 114397920. Its totient is φ = 98353152.

The previous prime is 106261733. The next prime is 106261751. The reversal of 106261747 is 747162601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106261747 - 2¹⁵ = 106228979 is a prime.

It is a super-2 number, since 2×106261747² = 22583117750984018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106261717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455943 + ... + 456175.

It is an arithmetic number, because the mean of its divisors is an integer number (7149870).

Almost surely, 2^106261747 is an apocalyptic number.

106261747 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106261747 is a deficient number, since it is larger than the sum of its proper divisors (8136173).

106261747 is a wasteful number, since it uses less digits than its factorization.

106261747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 106261747 is about 10308.3338614928. Note that the first 3 decimals coincide. The cubic root of 106261747 is about 473.6515729458.

The spelling of 106261747 in words is "one hundred six million, two hundred sixty-one thousand, seven hundred forty-seven".