106034534656 has 216 divisors, whose sum is σ = 236124985320. Its totient is φ = 47447801856.

The previous prime is 106034534597. The next prime is 106034534659. The reversal of 106034534656 is 656435430601.

It can be written as a sum of positive squares in 12 ways, for example, as 9447840000 + 96586694656 = 97200^2 + 310784^2 .

It is a super-2 number, since 2×106034534656² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106034534659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156623790 + ... + 156624466.

Almost surely, 2^106034534656 is an apocalyptic number.

106034534656 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 106034534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118062492660).

106034534656 is an abundant number, since it is smaller than the sum of its proper divisors (130090450664).

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

106034534656 is an equidigital number, since it uses as much as digits as its factorization.

106034534656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 106034534656 in words is "one hundred six billion, thirty-four million, five hundred thirty-four thousand, six hundred fifty-six".