106762080 has 96 divisors (see below), whose sum is σ = 339915744. Its totient is φ = 28164096.

The previous prime is 106762069. The next prime is 106762111. The reversal of 106762080 is 80267601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106762080² = 22796283451852800, 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 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, 45414 + ... + 47706.

It is an arithmetic number, because the mean of its divisors is an integer number (3540789).

Almost surely, 2^106762080 is an apocalyptic number.

106762080 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 106762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169957872).

106762080 is an abundant number, since it is smaller than the sum of its proper divisors (233153664).

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

106762080 is a wasteful number, since it uses less digits than its factorization.

106762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106762080 is about 10332.5737355220. The cubic root of 106762080 is about 474.3938047264.

The spelling of 106762080 in words is "one hundred six million, seven hundred sixty-two thousand, eighty".