106478064 has 300 divisors, whose sum is σ = 391124272. Its totient is φ = 27371520.

The previous prime is 106478041. The next prime is 106478083. The reversal of 106478064 is 460874601.

106478064 is a `hidden beast` number, since 1 + 0 + 647 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×106478064² = 22675156226376192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1097664 + ... + 1097760.

Almost surely, 2^106478064 is an apocalyptic number.

106478064 is a gapful number since it is divisible by the number (14) 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 106478064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195562136).

106478064 is an abundant number, since it is smaller than the sum of its proper divisors (284646208).

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

106478064 is a wasteful number, since it uses less digits than its factorization.

106478064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

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

The square root of 106478064 is about 10318.8208628699. The cubic root of 106478064 is about 473.9727592100.

The spelling of 106478064 in words is "one hundred six million, four hundred seventy-eight thousand, sixty-four".