106271760 has 240 divisors, whose sum is σ = 405295488. Its totient is φ = 22487040.

The previous prime is 106271749. The next prime is 106271761. The reversal of 106271760 is 67172601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106271760² = 22587373946995200, 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 not an unprimeable number, because it can be changed into a prime (106271761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742130 + ... + 1742190.

Almost surely, 2^106271760 is an apocalyptic number.

106271760 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 106271760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202647744).

106271760 is an abundant number, since it is smaller than the sum of its proper divisors (299023728).

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

106271760 is a wasteful number, since it uses less digits than its factorization.

106271760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106271760 is about 10308.8195250475. The cubic root of 106271760 is about 473.6664498084. Note that the first 3 decimals are identical.

The spelling of 106271760 in words is "one hundred six million, two hundred seventy-one thousand, seven hundred sixty".