106277480 has 64 divisors (see below), whose sum is σ = 250992000. Its totient is φ = 40423680.

The previous prime is 106277473. The next prime is 106277497. The reversal of 106277480 is 84772601.

It is a happy number.

It is a super-2 number, since 2×106277480² = 22589805510300800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106277480.

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 15 ways as a sum of consecutive naturals, for example, 304346 + ... + 304694.

It is an arithmetic number, because the mean of its divisors is an integer number (3921750).

Almost surely, 2^106277480 is an apocalyptic number.

106277480 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 106277480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125496000).

106277480 is an abundant number, since it is smaller than the sum of its proper divisors (144714520).

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

106277480 is a wasteful number, since it uses less digits than its factorization.

106277480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 106277480 is about 10309.0969536618. The cubic root of 106277480 is about 473.6749479064.

The spelling of 106277480 in words is "one hundred six million, two hundred seventy-seven thousand, four hundred eighty".