106114500 has 72 divisors (see below), whose sum is σ = 334770072. Its totient is φ = 28296000.

The previous prime is 106114447. The next prime is 106114501. The reversal of 106114500 is 5411601.

106114500 is a `hidden beast` number, since 1 + 0 + 611 + 4 + 50 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 94945536 = 3342^2 + 9744^2 .

It is a super-2 number, since 2×106114500² = 22520574220500000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106114501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7291 + ... + 16290.

Almost surely, 2^106114500 is an apocalyptic number.

106114500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106114500 is an abundant number, since it is smaller than the sum of its proper divisors (228655572).

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

106114500 is a wasteful number, since it uses less digits than its factorization.

106114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23606 (or 23591 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106114500 is about 10301.1892517321. The cubic root of 106114500 is about 473.4326920075.

The spelling of 106114500 in words is "one hundred six million, one hundred fourteen thousand, five hundred".