106420608000 has 1408 divisors, whose sum is σ = 463516784640. Its totient is φ = 23578214400.

The previous prime is 106420607963. The next prime is 106420608001. The reversal of 106420608000 is 806024601.

106420608000 is a `hidden beast` number, since 10 + 6 + 42 + 0 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106420608000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106420608001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1282175959 + ... + 1282176041.

Almost surely, 2^106420608000 is an apocalyptic number.

106420608000 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 106420608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231758392320).

106420608000 is an abundant number, since it is smaller than the sum of its proper divisors (357096176640).

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

106420608000 is an equidigital number, since it uses as much as digits as its factorization.

106420608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 106420608000 in words is "one hundred six billion, four hundred twenty million, six hundred eight thousand".