106828601 has 6 divisors (see below), whose sum is σ = 117423306. Its totient is φ = 97116800.

The previous prime is 106828591. The next prime is 106828637.

106828601 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 4414201 = 10120^2 + 2101^2 .

It is not a de Polignac number, because 106828601 - 2¹⁸ = 106566457 is a prime.

It is a super-2 number, since 2×106828601² = 22824699983234402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106828661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 441320 + ... + 441561.

It is an arithmetic number, because the mean of its divisors is an integer number (19570551).

Almost surely, 2^106828601 is an apocalyptic number.

106828601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106828601 is a deficient number, since it is larger than the sum of its proper divisors (10594705).

106828601 is an equidigital number, since it uses as much as digits as its factorization.

106828601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882903 (or 882892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 106828601 is about 10335.7922289489. The cubic root of 106828601 is about 474.4923122313.

The spelling of 106828601 in words is "one hundred six million, eight hundred twenty-eight thousand, six hundred one".