106288340 has 12 divisors (see below), whose sum is σ = 223205556. Its totient is φ = 42515328.

The previous prime is 106288333. The next prime is 106288397. The reversal of 106288340 is 43882601.

It can be written as a sum of positive squares in 2 ways, for example, as 61183684 + 45104656 = 7822^2 + 6716^2 .

It is a super-2 number, since 2×106288340² = 22594422439911200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106288297 and 106288306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657189 + ... + 2657228.

It is an arithmetic number, because the mean of its divisors is an integer number (18600463).

Almost surely, 2^106288340 is an apocalyptic number.

106288340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106288340 is an abundant number, since it is smaller than the sum of its proper divisors (116917216).

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

106288340 is a wasteful number, since it uses less digits than its factorization.

106288340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314426 (or 5314424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 106288340 is about 10309.6236594747. The cubic root of 106288340 is about 473.6910815681.

The spelling of 106288340 in words is "one hundred six million, two hundred eighty-eight thousand, three hundred forty".