106803426240 has 1008 divisors, whose sum is σ = 457902076320. Its totient is φ = 22713384960.

The previous prime is 106803426229. The next prime is 106803426241. The reversal of 106803426240 is 42624308601.

106803426240 is a `hidden beast` number, since 10 + 68 + 0 + 342 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106803426240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106803426195 and 106803426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803426241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163557754 + ... + 163558406.

Almost surely, 2^106803426240 is an apocalyptic number.

106803426240 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 106803426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228951038160).

106803426240 is an abundant number, since it is smaller than the sum of its proper divisors (351098650080).

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

106803426240 is a wasteful number, since it uses less digits than its factorization.

106803426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106803426240 in words is "one hundred six billion, eight hundred three million, four hundred twenty-six thousand, two hundred forty".