106460640 has 432 divisors, whose sum is σ = 439193664. Its totient is φ = 23316480.

The previous prime is 106460639. The next prime is 106460689. The reversal of 106460640 is 46064601.

106460640 is a `hidden beast` number, since 10 + 6 + 4 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×106460640² = 22667735738419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265097 + ... + 2265143.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^106460640 is an apocalyptic number.

106460640 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 106460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

106460640 is an abundant number, since it is smaller than the sum of its proper divisors (332733024).

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

106460640 is a wasteful number, since it uses less digits than its factorization.

106460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

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

The square root of 106460640 is about 10317.9765458156. The cubic root of 106460640 is about 473.9469042700.

The spelling of 106460640 in words is "one hundred six million, four hundred sixty thousand, six hundred forty".