106679550 has 48 divisors (see below), whose sum is σ = 265197312. Its totient is φ = 28380000.

The previous prime is 106679501. The next prime is 106679557. The reversal of 106679550 is 55976601.

It is a super-2 number, since 2×106679550² = 22761052776405000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106679499 and 106679508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106679557) 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, 112177 + ... + 113123.

It is an arithmetic number, because the mean of its divisors is an integer number (5524944).

Almost surely, 2^106679550 is an apocalyptic number.

106679550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106679550 is an abundant number, since it is smaller than the sum of its proper divisors (158517762).

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

106679550 is a wasteful number, since it uses less digits than its factorization.

106679550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 106679550 is about 10328.5792827475. The cubic root of 106679550 is about 474.2715334309.

The spelling of 106679550 in words is "one hundred six million, six hundred seventy-nine thousand, five hundred fifty".