106679140 has 24 divisors (see below), whose sum is σ = 230082552. Its totient is φ = 41518080.

The previous prime is 106679113. The next prime is 106679141. The reversal of 106679140 is 41976601.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 83868964 = 4776^2 + 9158^2 .

It is a super-2 number, since 2×106679140² = 22760877822279200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) 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 = 106679096 and 106679105.

It is not an unprimeable number, because it can be changed into a prime (106679141) 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, 71341 + ... + 72820.

It is an arithmetic number, because the mean of its divisors is an integer number (9586773).

Almost surely, 2^106679140 is an apocalyptic number.

106679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106679140 is an abundant number, since it is smaller than the sum of its proper divisors (123403412).

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

106679140 is a wasteful number, since it uses less digits than its factorization.

106679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144207 (or 144205 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 106679140 is about 10328.5594348873. The cubic root of 106679140 is about 474.2709258431.

The spelling of 106679140 in words is "one hundred six million, six hundred seventy-nine thousand, one hundred forty".