106280064 has 96 divisors (see below), whose sum is σ = 333674640. Its totient is φ = 32202240.

The previous prime is 106280011. The next prime is 106280137. The reversal of 106280064 is 460082601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106280064² = 22590904007688192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8479 + ... + 16865.

Almost surely, 2^106280064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166837320).

106280064 is an abundant number, since it is smaller than the sum of its proper divisors (227394576).

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

106280064 is a wasteful number, since it uses less digits than its factorization.

106280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8403 counting only the distinct ones).

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

The square root of 106280064 is about 10309.2222791052. Note that the first 4 decimals coincide. The cubic root of 106280064 is about 473.6787868073.

The spelling of 106280064 in words is "one hundred six million, two hundred eighty thousand, sixty-four".