106710656 has 48 divisors (see below), whose sum is σ = 230245110. Its totient is φ = 49241088.

The previous prime is 106710601. The next prime is 106710679. The reversal of 106710656 is 656017601.

It can be written as a sum of positive squares in 3 ways, for example, as 43349056 + 63361600 = 6584^2 + 7960^2 .

It is a super-2 number, since 2×106710656² = 22774328207900672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19166 + ... + 24098.

Almost surely, 2^106710656 is an apocalyptic number.

106710656 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 106710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115122555).

106710656 is an abundant number, since it is smaller than the sum of its proper divisors (123534454).

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

106710656 is an equidigital number, since it uses as much as digits as its factorization.

106710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 106710656 is about 10330.0849948101. The cubic root of 106710656 is about 474.3176255409.

The spelling of 106710656 in words is "one hundred six million, seven hundred ten thousand, six hundred fifty-six".