106534064 has 80 divisors (see below), whose sum is σ = 267482880. Its totient is φ = 39916800.

The previous prime is 106534061. The next prime is 106534079. The reversal of 106534064 is 460435601.

It is a happy number.

It is a super-2 number, since 2×106534064² = 22699013584712192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106534061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25739 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (3343536).

Almost surely, 2^106534064 is an apocalyptic number.

106534064 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 106534064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133741440).

106534064 is an abundant number, since it is smaller than the sum of its proper divisors (160948816).

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

106534064 is a wasteful number, since it uses less digits than its factorization.

106534064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 106534064 is about 10321.5339945185. The cubic root of 106534064 is about 474.0558367996.

Adding to 106534064 its reverse (460435601), we get a palindrome (566969665).

The spelling of 106534064 in words is "one hundred six million, five hundred thirty-four thousand, sixty-four".