106201031456 has 24 divisors (see below), whose sum is σ = 225166610844. Its totient is φ = 49015860480.

The previous prime is 106201031441. The next prime is 106201031459. The reversal of 106201031456 is 654130102601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105180867856 + 1020163600 = 324316^2 + 31940^2 .

It is a super-4 number, since 4×106201031456⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106201031459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127645055 + ... + 127645886.

Almost surely, 2^106201031456 is an apocalyptic number.

106201031456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106201031456 is an abundant number, since it is smaller than the sum of its proper divisors (118965579388).

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

106201031456 is a wasteful number, since it uses less digits than its factorization.

106201031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255290964 (or 255290956 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106201031456 in words is "one hundred six billion, two hundred one million, thirty-one thousand, four hundred fifty-six".