106454208200 has 36 divisors (see below), whose sum is σ = 247516762545. Its totient is φ = 42579837600.

The previous prime is 106454208187. The next prime is 106454208209. The reversal of 106454208200 is 2802454601.

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 2 ways, for example, as 104325124036 + 2129084164 = 322994^2 + 46142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230710.

It is a super-2 number, since 2×106454208200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106454208209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4602665 + ... + 4625735.

Almost surely, 2^106454208200 is an apocalyptic number.

106454208200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106454208200 is an abundant number, since it is smaller than the sum of its proper divisors (141062554345).

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

106454208200 is an frugal number, since it uses more digits than its factorization.

106454208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46158 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Multiplying 106454208200 by its sum of digits (32), we get a square (3406534662400 = 1845680²).

The spelling of 106454208200 in words is "one hundred six billion, four hundred fifty-four million, two hundred eight thousand, two hundred".