106367670 has 48 divisors (see below), whose sum is σ = 277142112. Its totient is φ = 28304640.

The previous prime is 106367629. The next prime is 106367671. The reversal of 106367670 is 76763601.

106367670 is a `hidden beast` number, since 10 + 636 + 7 + 6 + 7 + 0 = 666.

It is a super-2 number, since 2×106367670² = 22628162442457800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106367671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55854 + ... + 57726.

It is an arithmetic number, because the mean of its divisors is an integer number (5773794).

Almost surely, 2^106367670 is an apocalyptic number.

106367670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106367670 is an abundant number, since it is smaller than the sum of its proper divisors (170774442).

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

106367670 is a wasteful number, since it uses less digits than its factorization.

106367670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 106367670 is about 10313.4703179871. The cubic root of 106367670 is about 473.8089012286.

The spelling of 106367670 in words is "one hundred six million, three hundred sixty-seven thousand, six hundred seventy".