106460064 has 72 divisors (see below), whose sum is σ = 303970212. Its totient is φ = 35343360.

The previous prime is 106460051. The next prime is 106460083. The reversal of 106460064 is 460064601.

106460064 is a `hidden beast` number, since 10 + 646 + 0 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105267600 + 1192464 = 10260^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106460064² = 22667490453768192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89554 + ... + 90734.

Almost surely, 2^106460064 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 106460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151985106).

106460064 is an abundant number, since it is smaller than the sum of its proper divisors (197510148).

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

106460064 is a wasteful number, since it uses less digits than its factorization.

106460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106460064 is about 10317.9486333282. The cubic root of 106460064 is about 473.9460495131.

It can be divided in two parts, 106 and 460064, that multiplied together give a palindrome (48766784).

The spelling of 106460064 in words is "one hundred six million, four hundred sixty thousand, sixty-four".