106026312 has 96 divisors (see below), whose sum is σ = 312016320. Its totient is φ = 29410560.

The previous prime is 106026259. The next prime is 106026317. The reversal of 106026312 is 213620601.

It is a happy number.

It is a super-2 number, since 2×106026312² = 22483157672642688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106026317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229762 + ... + 230222.

It is an arithmetic number, because the mean of its divisors is an integer number (3250170).

Almost surely, 2^106026312 is an apocalyptic number.

106026312 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 106026312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156008160).

106026312 is an abundant number, since it is smaller than the sum of its proper divisors (205990008).

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

106026312 is a wasteful number, since it uses less digits than its factorization.

106026312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106026312 is about 10296.9078853800. The cubic root of 106026312 is about 473.3015046155.

Adding to 106026312 its reverse (213620601), we get a palindrome (319646913).

It can be divided in two parts, 1060 and 26312, that added together give a palindrome (27372).

The spelling of 106026312 in words is "one hundred six million, twenty-six thousand, three hundred twelve".