106426240 has 64 divisors (see below), whose sum is σ = 256122000. Its totient is φ = 42287104.

The previous prime is 106426237. The next prime is 106426241. The reversal of 106426240 is 42624601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106426240² = 22653089121075200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106426241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114096 + ... + 115024.

Almost surely, 2^106426240 is an apocalyptic number.

106426240 is a gapful number since it is divisible by the number (10) 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 106426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128061000).

106426240 is an abundant number, since it is smaller than the sum of its proper divisors (149695760).

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

106426240 is an equidigital number, since it uses as much as digits as its factorization.

106426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 106426240 is about 10316.3094176164. The cubic root of 106426240 is about 473.8958508795.

The spelling of 106426240 in words is "one hundred six million, four hundred twenty-six thousand, two hundred forty".