106901760 has 288 divisors, whose sum is σ = 403828992. Its totient is φ = 23592960.

The previous prime is 106901747. The next prime is 106901777. The reversal of 106901760 is 67109601.

It is a super-2 number, since 2×106901760² = 22855972582195200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102032 + ... + 1102128.

It is an arithmetic number, because the mean of its divisors is an integer number (1402184).

Almost surely, 2^106901760 is an apocalyptic number.

106901760 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 106901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201914496).

106901760 is an abundant number, since it is smaller than the sum of its proper divisors (296927232).

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

106901760 is an equidigital number, since it uses as much as digits as its factorization.

106901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

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

The square root of 106901760 is about 10339.3307326925. The cubic root of 106901760 is about 474.6006024006.

The spelling of 106901760 in words is "one hundred six million, nine hundred one thousand, seven hundred sixty".