106179920 has 120 divisors (see below), whose sum is σ = 310313472. Its totient is φ = 33073920.

The previous prime is 106179911. The next prime is 106179947. The reversal of 106179920 is 29971601.

It is a super-2 number, since 2×106179920² = 22548350822412800, 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 Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 66977 + ... + 68543.

Almost surely, 2^106179920 is an apocalyptic number.

106179920 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 106179920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155156736).

106179920 is an abundant number, since it is smaller than the sum of its proper divisors (204133552).

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

106179920 is a wasteful number, since it uses less digits than its factorization.

106179920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 106179920 is about 10304.3641240011. The cubic root of 106179920 is about 473.5299630500.

The spelling of 106179920 in words is "one hundred six million, one hundred seventy-nine thousand, nine hundred twenty".