106126092 has 96 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 34214400.

The previous prime is 106126061. The next prime is 106126099. The reversal of 106126092 is 290621601.

It is a super-2 number, since 2×106126092² = 22525494806384928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106126099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586242 + ... + 586422.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^106126092 is an apocalyptic number.

106126092 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 106126092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

106126092 is an abundant number, since it is smaller than the sum of its proper divisors (178230708).

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

106126092 is a wasteful number, since it uses less digits than its factorization.

106126092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106126092 is about 10301.7518898486. The cubic root of 106126092 is about 473.4499307196.

Adding to 106126092 its reverse (290621601), we get a palindrome (396747693).

The spelling of 106126092 in words is "one hundred six million, one hundred twenty-six thousand, ninety-two".