106185340 has 24 divisors (see below), whose sum is σ = 225201312. Its totient is φ = 42052800.

The previous prime is 106185337. The next prime is 106185347. The reversal of 106185340 is 43581601.

It is a super-2 number, since 2×106185340² = 22550652861831200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106185299 and 106185308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106185347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24264 + ... + 28303.

It is an arithmetic number, because the mean of its divisors is an integer number (9383388).

Almost surely, 2^106185340 is an apocalyptic number.

106185340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106185340 is an abundant number, since it is smaller than the sum of its proper divisors (119015972).

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

106185340 is a wasteful number, since it uses less digits than its factorization.

106185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52677 (or 52675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106185340 is about 10304.6271160096. The cubic root of 106185340 is about 473.5380200936.

The spelling of 106185340 in words is "one hundred six million, one hundred eighty-five thousand, three hundred forty".