106436913408 has 360 divisors, whose sum is σ = 371171987648. Its totient is φ = 29701582848.

The previous prime is 106436913403. The next prime is 106436913421. The reversal of 106436913408 is 804319634601.

It is a super-2 number, since 2×106436913408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106436913403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6233010 + ... + 6250062.

Almost surely, 2^106436913408 is an apocalyptic number.

106436913408 is a gapful number since it is divisible by the number (18) 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 106436913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185585993824).

106436913408 is an abundant number, since it is smaller than the sum of its proper divisors (264735074240).

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

106436913408 is an equidigital number, since it uses as much as digits as its factorization.

106436913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106436913408 in words is "one hundred six billion, four hundred thirty-six million, nine hundred thirteen thousand, four hundred eight".