106479936 has 84 divisors (see below), whose sum is σ = 306630324. Its totient is φ = 35328000.

The previous prime is 106479931. The next prime is 106480001. The reversal of 106479936 is 639974601.

It can be written as a sum of positive squares in 2 ways, for example, as 78854400 + 27625536 = 8880^2 + 5256^2 .

It is a super-2 number, since 2×106479936² = 22675953541128192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106479891 and 106479900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106479931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230746 + ... + 231206.

It is an arithmetic number, because the mean of its divisors is an integer number (3650361).

Almost surely, 2^106479936 is an apocalyptic number.

106479936 is a gapful number since it is divisible by the number (16) 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 106479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153315162).

106479936 is an abundant number, since it is smaller than the sum of its proper divisors (200150388).

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

106479936 is a wasteful number, since it uses less digits than its factorization.

106479936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 106479936 is about 10318.9115705098. The cubic root of 106479936 is about 473.9755368457.

The spelling of 106479936 in words is "one hundred six million, four hundred seventy-nine thousand, nine hundred thirty-six".