106800854416 has 15 divisors (see below), whose sum is σ = 206929188193. Its totient is φ = 53399773600.

The previous prime is 106800854411. The next prime is 106800854431. The reversal of 106800854416 is 614458008601.

The square root of 106800854416 is 326804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6691894416 + 100108960000 = 81804^2 + 316400^2 .

It is a super-2 number, since 2×106800854416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106800854411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1266366 + ... + 1348066.

Almost surely, 2^106800854416 is an apocalyptic number.

106800854416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106800854416 is the 326804-th square number.

It is an amenable number.

106800854416 is a deficient number, since it is larger than the sum of its proper divisors (100128333777).

106800854416 is an frugal number, since it uses more digits than its factorization.

106800854416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163410 (or 81703 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 106800854416 in words is "one hundred six billion, eight hundred million, eight hundred fifty-four thousand, four hundred sixteen".