106967250 has 256 divisors, whose sum is σ = 339655680. Its totient is φ = 24710400.

The previous prime is 106967239. The next prime is 106967279. The reversal of 106967250 is 52769601.

It is a super-2 number, since 2×106967250² = 22883985145125000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2018224 + ... + 2018276.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^106967250 is an apocalyptic number.

106967250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106967250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

106967250 is an abundant number, since it is smaller than the sum of its proper divisors (232688430).

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

106967250 is a wasteful number, since it uses less digits than its factorization.

106967250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106967250 is about 10342.4972806378. The cubic root of 106967250 is about 474.6974989923.

The spelling of 106967250 in words is "one hundred six million, nine hundred sixty-seven thousand, two hundred fifty".