106478064000 has 1920 divisors, whose sum is σ = 501900759360. Its totient is φ = 21897216000.

The previous prime is 106478063999. The next prime is 106478064001. The reversal of 106478064000 is 460874601.

106478064000 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 8 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106478063999) and next prime (106478064001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106478064000² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (106478064001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1097711952 + ... + 1097712048.

Almost surely, 2^106478064000 is an apocalyptic number.

106478064000 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 106478064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250950379680).

106478064000 is an abundant number, since it is smaller than the sum of its proper divisors (395422695360).

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

106478064000 is an equidigital number, since it uses as much as digits as its factorization.

106478064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106478064000 in words is "one hundred six billion, four hundred seventy-eight million, sixty-four thousand".