106200414 has 48 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 34272000.

The previous prime is 106200383. The next prime is 106200421. The reversal of 106200414 is 414002601.

106200414 is a `hidden beast` number, since 1 + 0 + 620 + 0 + 41 + 4 = 666.

It is a super-2 number, since 2×106200414² = 22557055867542792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110962 + ... + 111914.

It is an arithmetic number, because the mean of its divisors is an integer number (4948398).

Almost surely, 2^106200414 is an apocalyptic number.

106200414 is an abundant number, since it is smaller than the sum of its proper divisors (131322690).

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

106200414 is a wasteful number, since it uses less digits than its factorization.

106200414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106200414 is about 10305.3585090476. The cubic root of 106200414 is about 473.5604267471.

The spelling of 106200414 in words is "one hundred six million, two hundred thousand, four hundred fourteen".