106270304 has 48 divisors (see below), whose sum is σ = 249516288. Its totient is φ = 43562112.

The previous prime is 106270303. The next prime is 106270309. The reversal of 106270304 is 403072601.

It is a super-2 number, since 2×106270304² = 22586755024504832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 106270304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106270301) 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, 5162 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (5198256).

Almost surely, 2^106270304 is an apocalyptic number.

106270304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106270304 is an abundant number, since it is smaller than the sum of its proper divisors (143245984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106270304 is a wasteful number, since it uses less digits than its factorization.

106270304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20667 (or 20659 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 106270304 is about 10308.7489056626. The cubic root of 106270304 is about 473.6642866075.

The spelling of 106270304 in words is "one hundred six million, two hundred seventy thousand, three hundred four".