106426410 has 96 divisors (see below), whose sum is σ = 279148032. Its totient is φ = 25937280.

The previous prime is 106426403. The next prime is 106426417. The reversal of 106426410 is 14624601.

It is an interprime number because it is at equal distance from previous prime (106426403) and next prime (106426417).

It is a super-2 number, since 2×106426410² = 22653161490976200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106426417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335572 + ... + 335888.

It is an arithmetic number, because the mean of its divisors is an integer number (2907792).

Almost surely, 2^106426410 is an apocalyptic number.

106426410 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 106426410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574016).

106426410 is an abundant number, since it is smaller than the sum of its proper divisors (172721622).

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

106426410 is a wasteful number, since it uses less digits than its factorization.

106426410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106426410 is about 10316.3176569937. The cubic root of 106426410 is about 473.8961032053.

The spelling of 106426410 in words is "one hundred six million, four hundred twenty-six thousand, four hundred ten".