106250384 has 40 divisors (see below), whose sum is σ = 213637368. Its totient is φ = 51148800.

The previous prime is 106250383. The next prime is 106250387. The reversal of 106250384 is 483052601.

It can be written as a sum of positive squares in 4 ways, for example, as 66912400 + 39337984 = 8180^2 + 6272^2 .

It is a super-2 number, since 2×106250384² = 22578288200294912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106250383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58904 + ... + 60680.

Almost surely, 2^106250384 is an apocalyptic number.

It is an amenable number.

106250384 is an abundant number, since it is smaller than the sum of its proper divisors (107386984).

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

106250384 is a wasteful number, since it uses less digits than its factorization.

106250384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106250384 is about 10307.7826907633. The cubic root of 106250384 is about 473.6346891821.

The spelling of 106250384 in words is "one hundred six million, two hundred fifty thousand, three hundred eighty-four".