106286760 has 192 divisors, whose sum is σ = 373464000. Its totient is φ = 26127360.

The previous prime is 106286707. The next prime is 106286773. The reversal of 106286760 is 67682601.

It is a happy number.

It is a super-2 number, since 2×106286760² = 22593750702595200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280251 + ... + 280629.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^106286760 is an apocalyptic number.

106286760 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 106286760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

106286760 is an abundant number, since it is smaller than the sum of its proper divisors (267177240).

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

106286760 is a wasteful number, since it uses less digits than its factorization.

106286760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106286760 is about 10309.5470317565. The cubic root of 106286760 is about 473.6887343817.

The spelling of 106286760 in words is "one hundred six million, two hundred eighty-six thousand, seven hundred sixty".