106935240 has 64 divisors (see below), whose sum is σ = 321485760. Its totient is φ = 28455680.

The previous prime is 106935239. The next prime is 106935247. The reversal of 106935240 is 42539601.

It is a super-2 number, since 2×106935240² = 22870291107715200, 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 = 106935198 and 106935207.

It is not an unprimeable number, because it can be changed into a prime (106935247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112447 + ... + 113393.

It is an arithmetic number, because the mean of its divisors is an integer number (5023215).

Almost surely, 2^106935240 is an apocalyptic number.

106935240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106935240 is an abundant number, since it is smaller than the sum of its proper divisors (214550520).

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

106935240 is a wasteful number, since it uses less digits than its factorization.

106935240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106935240 is about 10340.9496662541. The cubic root of 106935240 is about 474.6501431181.

The spelling of 106935240 in words is "one hundred six million, nine hundred thirty-five thousand, two hundred forty".