106253301 has 64 divisors (see below), whose sum is σ = 190586880. Its totient is φ = 50984640.

The previous prime is 106253299. The next prime is 106253311. The reversal of 106253301 is 103352601.

It is not a de Polignac number, because 106253301 - 2¹ = 106253299 is a prime.

It is a super-2 number, since 2×106253301² = 22579527946793202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106253311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188446 + ... + 189008.

It is an arithmetic number, because the mean of its divisors is an integer number (2977920).

Almost surely, 2^106253301 is an apocalyptic number.

106253301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106253301 is a deficient number, since it is larger than the sum of its proper divisors (84333579).

106253301 is a wasteful number, since it uses less digits than its factorization.

106253301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106253301 is about 10307.9241848201. The cubic root of 106253301 is about 473.6390235342.

The spelling of 106253301 in words is "one hundred six million, two hundred fifty-three thousand, three hundred one".