106334640 has 160 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 26853120.

The previous prime is 106334639. The next prime is 106334671. The reversal of 106334640 is 46433601.

106334640 is a `hidden beast` number, since 10 + 6 + 3 + 3 + 4 + 640 = 666.

It is a super-2 number, since 2×106334640² = 22614111327859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39745 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^106334640 is an apocalyptic number.

106334640 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 106334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

106334640 is an abundant number, since it is smaller than the sum of its proper divisors (279354960).

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

106334640 is a wasteful number, since it uses less digits than its factorization.

106334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106334640 is about 10311.8688897794. The cubic root of 106334640 is about 473.7598527154.

The spelling of 106334640 in words is "one hundred six million, three hundred thirty-four thousand, six hundred forty".