106761480 has 128 divisors (see below), whose sum is σ = 368928000. Its totient is φ = 24210432.

The previous prime is 106761461. The next prime is 106761511. The reversal of 106761480 is 84167601.

It is a happy number.

It is a super-2 number, since 2×106761480² = 22796027223580800, which contains 22 as substring.

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, 124734 + ... + 125586.

It is an arithmetic number, because the mean of its divisors is an integer number (2882250).

Almost surely, 2^106761480 is an apocalyptic number.

106761480 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 106761480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464000).

106761480 is an abundant number, since it is smaller than the sum of its proper divisors (262166520).

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

106761480 is a wasteful number, since it uses less digits than its factorization.

106761480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106761480 is about 10332.5447010889. The cubic root of 106761480 is about 474.3929160312.

The spelling of 106761480 in words is "one hundred six million, seven hundred sixty-one thousand, four hundred eighty".