106792235552 has 54 divisors (see below), whose sum is σ = 215653321359. Its totient is φ = 52056801280.

The previous prime is 106792235483. The next prime is 106792235581. The reversal of 106792235552 is 255532297601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 20288014096 + 86504221456 = 142436^2 + 294116^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=231076.

It is a super-2 number, since 2×106792235552² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106792235497 and 106792235506.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75792224 + ... + 75793632.

Almost surely, 2^106792235552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106792235552

106792235552 is an abundant number, since it is smaller than the sum of its proper divisors (108861085807).

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

106792235552 is an frugal number, since it uses more digits than its factorization.

106792235552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 106792235552 in words is "one hundred six billion, seven hundred ninety-two million, two hundred thirty-five thousand, five hundred fifty-two".