106838640 has 60 divisors (see below), whose sum is σ = 358802184. Its totient is φ = 28490112.

The previous prime is 106838629. The next prime is 106838671. The reversal of 106838640 is 46838601.

It is a happy number.

106838640 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106838640² = 22828989994099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106838595 and 106838604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73474 + ... + 74913.

Almost surely, 2^106838640 is an apocalyptic number.

106838640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106838640 is an abundant number, since it is smaller than the sum of its proper divisors (251963544).

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

106838640 is a wasteful number, since it uses less digits than its factorization.

106838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148406 (or 148397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106838640 is about 10336.2778600423. The cubic root of 106838640 is about 474.5071749150.

The spelling of 106838640 in words is "one hundred six million, eight hundred thirty-eight thousand, six hundred forty".