106826310 has 64 divisors (see below), whose sum is σ = 294082560. Its totient is φ = 27565920.

The previous prime is 106826299. The next prime is 106826327. The reversal of 106826310 is 13628601.

It is a super-2 number, since 2×106826310² = 22823721016432200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (4595040).

Almost surely, 2^106826310 is an apocalyptic number.

106826310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106826310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147041280).

106826310 is an abundant number, since it is smaller than the sum of its proper divisors (187256250).

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

106826310 is a wasteful number, since it uses less digits than its factorization.

106826310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12810 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106826310 is about 10335.6813998884. The cubic root of 106826310 is about 474.4889202880.

The spelling of 106826310 in words is "one hundred six million, eight hundred twenty-six thousand, three hundred ten".