106079760 has 160 divisors (see below), whose sum is σ = 371345280. Its totient is φ = 27827712.

The previous prime is 106079759. The next prime is 106079773. The reversal of 106079760 is 67970601.

It is a super-2 number, since 2×106079760² = 22505830963315200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144354 + ... + 145086.

It is an arithmetic number, because the mean of its divisors is an integer number (2320908).

Almost surely, 2^106079760 is an apocalyptic number.

106079760 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 106079760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185672640).

106079760 is an abundant number, since it is smaller than the sum of its proper divisors (265265520).

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

106079760 is a wasteful number, since it uses less digits than its factorization.

106079760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106079760 is about 10299.5029006258. The cubic root of 106079760 is about 473.3810218874.

The spelling of 106079760 in words is "one hundred six million, seventy-nine thousand, seven hundred sixty".