106250000 has 90 divisors (see below), whose sum is σ = 272460798. Its totient is φ = 40000000.

The previous prime is 106249993. The next prime is 106250047. The reversal of 106250000 is 52601.

It can be written as a sum of positive squares in 9 ways, for example, as 50239744 + 56010256 = 7088^2 + 7484^2 .

It is a super-2 number, since 2×106250000² = 22578125000000000, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6249992 + ... + 6250008.

Almost surely, 2^106250000 is an apocalyptic number.

106250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136230399).

106250000 is an abundant number, since it is smaller than the sum of its proper divisors (166210798).

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

106250000 is an frugal number, since it uses more digits than its factorization.

106250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 106250000 is about 10307.7640640442. The cubic root of 106250000 is about 473.6341185930.

The spelling of 106250000 in words is "one hundred six million, two hundred fifty thousand".