106319423910420 has 576 divisors, whose sum is σ = 400857350799360. Its totient is φ = 22259334988800.

The previous prime is 106319423910383. The next prime is 106319423910421. The reversal of 106319423910420 is 24019324913601.

106319423910420 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 194 + 2 + 39 + 1 + 0 + 420 = 666.

It is a super-2 number, since 2×106319423910420² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (106319423910421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 811093485 + ... + 811224555.

Almost surely, 2^{106319423910420} is an apocalyptic number.

106319423910420 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 106319423910420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200428675399680).

106319423910420 is an abundant number, since it is smaller than the sum of its proper divisors (294537926888940).

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

106319423910420 is a wasteful number, since it uses less digits than its factorization.

106319423910420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132236 (or 132231 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106319423910420 in words is "one hundred six trillion, three hundred nineteen billion, four hundred twenty-three million, nine hundred ten thousand, four hundred twenty".