106615240 has 32 divisors (see below), whose sum is σ = 242928000. Its totient is φ = 42105024.

The previous prime is 106615219. The next prime is 106615247. The reversal of 106615240 is 42516601.

It is a super-2 number, since 2×106615240² = 22733618800515200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106615247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13710 + ... + 20029.

It is an arithmetic number, because the mean of its divisors is an integer number (7591500).

Almost surely, 2^106615240 is an apocalyptic number.

106615240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106615240 is an abundant number, since it is smaller than the sum of its proper divisors (136312760).

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

106615240 is a wasteful number, since it uses less digits than its factorization.

106615240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33829 (or 33825 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106615240 is about 10325.4656069351. The cubic root of 106615240 is about 474.1762120275.

The spelling of 106615240 in words is "one hundred six million, six hundred fifteen thousand, two hundred forty".