106910760 has 192 divisors, whose sum is σ = 363888000. Its totient is φ = 25090560.

The previous prime is 106910747. The next prime is 106910789. The reversal of 106910760 is 67019601.

It is a super-2 number, since 2×106910760² = 22859821207555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 537141 + ... + 537339.

It is an arithmetic number, because the mean of its divisors is an integer number (1895250).

Almost surely, 2^106910760 is an apocalyptic number.

106910760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106910760 is the 5970-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106910760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944000).

106910760 is an abundant number, since it is smaller than the sum of its proper divisors (256977240).

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

106910760 is a wasteful number, since it uses less digits than its factorization.

106910760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106910760 is about 10339.7659547980. The cubic root of 106910760 is about 474.6139208142.

The spelling of 106910760 in words is "one hundred six million, nine hundred ten thousand, seven hundred sixty".