106275480 has 64 divisors (see below), whose sum is σ = 319507200. Its totient is φ = 28279680.

The previous prime is 106275473. The next prime is 106275487. The reversal of 106275480 is 84572601.

It is a Cunningham number, because it is equal to 10309²-1.

It is an interprime number because it is at equal distance from previous prime (106275473) and next prime (106275487).

It is a super-2 number, since 2×106275480² = 22588955298460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106275487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102565 + ... + 103595.

It is an arithmetic number, because the mean of its divisors is an integer number (4992300).

Almost surely, 2^106275480 is an apocalyptic number.

106275480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106275480 is an abundant number, since it is smaller than the sum of its proper divisors (213231720).

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

106275480 is a wasteful number, since it uses less digits than its factorization.

106275480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106275480 is about 10308.9999514987. Note that the first 4 decimals coincide. The cubic root of 106275480 is about 473.6719765781.

The spelling of 106275480 in words is "one hundred six million, two hundred seventy-five thousand, four hundred eighty".