106251016456 has 64 divisors (see below), whose sum is σ = 215506534320. Its totient is φ = 48819732480.

The previous prime is 106251016451. The next prime is 106251016457. The reversal of 106251016456 is 654610152601.

It can be written as a sum of positive squares in 8 ways, for example, as 46944155556 + 59306860900 = 216666^2 + 243530^2 .

It is a super-2 number, since 2×106251016456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106251016451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24863536 + ... + 24867808.

Almost surely, 2^106251016456 is an apocalyptic number.

It is an amenable number.

106251016456 is an abundant number, since it is smaller than the sum of its proper divisors (109255517864).

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

106251016456 is a wasteful number, since it uses less digits than its factorization.

106251016456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 106251016456 in words is "one hundred six billion, two hundred fifty-one million, sixteen thousand, four hundred fifty-six".