106520640 has 224 divisors, whose sum is σ = 367369344. Its totient is φ = 26050560.

The previous prime is 106520611. The next prime is 106520653. The reversal of 106520640 is 46025601.

It is a super-2 number, since 2×106520640² = 22693293492019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106520640.

It is a congruent number.

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, 995467 + ... + 995573.

Almost surely, 2^106520640 is an apocalyptic number.

106520640 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 106520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183684672).

106520640 is an abundant number, since it is smaller than the sum of its proper divisors (260848704).

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

106520640 is a wasteful number, since it uses less digits than its factorization.

106520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106520640 is about 10320.8836830961. The cubic root of 106520640 is about 474.0359245681.

The spelling of 106520640 in words is "one hundred six million, five hundred twenty thousand, six hundred forty".