106090000 has 75 divisors (see below), whose sum is σ = 259372443. Its totient is φ = 42024000.

The previous prime is 106089983. The next prime is 106090003. The reversal of 106090000 is 90601.

The square root of 106090000 is 10300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 97772544 = 2884^2 + 9888^2 .

It is a super-2 number, since 2×106090000² = 22510176200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106090003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1029949 + ... + 1030051.

Almost surely, 2^106090000 is an apocalyptic number.

106090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106090000 is the 10300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106090000

106090000 is an abundant number, since it is smaller than the sum of its proper divisors (153282443).

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

106090000 is an frugal number, since it uses more digits than its factorization.

106090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 106090000 is about 473.3962534003.

Multiplying 106090000 by its sum of digits (16), we get a square (1697440000 = 41200²).

106090000 divided by its sum of digits (16) gives a square (6630625 = 2575²).

Multiplying 106090000 by its reverse (90601), we get a square (9611860090000 = 3100300²).

The spelling of 106090000 in words is "one hundred six million, ninety thousand".