106406900 has 18 divisors (see below), whose sum is σ = 230903190. Its totient is φ = 42562720.

The previous prime is 106406891. The next prime is 106406933. The reversal of 106406900 is 9604601.

It can be written as a sum of positive squares in 3 ways, for example, as 481636 + 105925264 = 694^2 + 10292^2 .

It is a super-2 number, since 2×106406900² = 22644856735220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106406900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 531935 + ... + 532134.

It is an arithmetic number, because the mean of its divisors is an integer number (12827955).

Almost surely, 2^106406900 is an apocalyptic number.

106406900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106406900 is an abundant number, since it is smaller than the sum of its proper divisors (124496290).

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

106406900 is a wasteful number, since it uses less digits than its factorization.

106406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064083 (or 1064076 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106406900 is about 10315.3720243140. The cubic root of 106406900 is about 473.8671433572.

The spelling of 106406900 in words is "one hundred six million, four hundred six thousand, nine hundred".