106724640 has 384 divisors, whose sum is σ = 411505920. Its totient is φ = 22937600.

The previous prime is 106724603. The next prime is 106724699. The reversal of 106724640 is 46427601.

It is a super-2 number, since 2×106724640² = 22780297566259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106724598 and 106724607.

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 63 ways as a sum of consecutive naturals, for example, 2603020 + ... + 2603060.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^106724640 is an apocalyptic number.

106724640 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 106724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

106724640 is an abundant number, since it is smaller than the sum of its proper divisors (304781280).

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

106724640 is a wasteful number, since it uses less digits than its factorization.

106724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106724640 is about 10330.7618305718. The cubic root of 106724640 is about 474.3383437716.

The spelling of 106724640 in words is "one hundred six million, seven hundred twenty-four thousand, six hundred forty".