106271520 has 48 divisors (see below), whose sum is σ = 334756800. Its totient is φ = 28338944.

The previous prime is 106271513. The next prime is 106271527. The reversal of 106271520 is 25172601.

It is an interprime number because it is at equal distance from previous prime (106271513) and next prime (106271527).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106271520² = 22587271926220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106271527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 110220 + ... + 111179.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2^106271520 is an apocalyptic number.

106271520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106271520 is an abundant number, since it is smaller than the sum of its proper divisors (228485280).

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

106271520 is a wasteful number, since it uses less digits than its factorization.

106271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221417 (or 221409 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106271520 is about 10308.8078845228. The cubic root of 106271520 is about 473.6660932382. Note that the first 3 decimals are identical.

The spelling of 106271520 in words is "one hundred six million, two hundred seventy-one thousand, five hundred twenty".