106132680 has 192 divisors, whose sum is σ = 365601600. Its totient is φ = 27682560.

The previous prime is 106132673. The next prime is 106132693. The reversal of 106132680 is 86231601.

It is a super-2 number, since 2×106132680² = 22528291527964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592831 + ... + 593009.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^106132680 is an apocalyptic number.

106132680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

106132680 is an abundant number, since it is smaller than the sum of its proper divisors (259468920).

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

106132680 is a wasteful number, since it uses less digits than its factorization.

106132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106132680 is about 10302.0716363264. The cubic root of 106132680 is about 473.4597273164.

The spelling of 106132680 in words is "one hundred six million, one hundred thirty-two thousand, six hundred eighty".