106435319760 has 640 divisors, whose sum is σ = 472855449600. Its totient is φ = 21352826880.

The previous prime is 106435319759. The next prime is 106435319779. The reversal of 106435319760 is 67913534601.

It is a happy number.

106435319760 is a `hidden beast` number, since 1 + 0 + 6 + 43 + 531 + 9 + 76 + 0 = 666.

It is a super-2 number, since 2×106435319760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4812247 + ... + 4834313.

It is an arithmetic number, because the mean of its divisors is an integer number (738836640).

Almost surely, 2^106435319760 is an apocalyptic number.

106435319760 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 106435319760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236427724800).

106435319760 is an abundant number, since it is smaller than the sum of its proper divisors (366420129840).

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

106435319760 is a wasteful number, since it uses less digits than its factorization.

106435319760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22136 (or 22124 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 106435319760 in words is "one hundred six billion, four hundred thirty-five million, three hundred nineteen thousand, seven hundred sixty".