106727292 has 108 divisors (see below), whose sum is σ = 332382960. Its totient is φ = 28691712.

The previous prime is 106727267. The next prime is 106727297. The reversal of 106727292 is 292727601.

It is a super-2 number, since 2×106727292² = 22781429715306528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28209 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (3077620).

Almost surely, 2^106727292 is an apocalyptic number.

106727292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106727292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166191480).

106727292 is an abundant number, since it is smaller than the sum of its proper divisors (225655668).

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

106727292 is a wasteful number, since it uses less digits than its factorization.

106727292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106727292 is about 10330.8901842968. The cubic root of 106727292 is about 474.3422726827.

The spelling of 106727292 in words is "one hundred six million, seven hundred twenty-seven thousand, two hundred ninety-two".