106744950 has 144 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 25804800.

The previous prime is 106744949. The next prime is 106744961. The reversal of 106744950 is 59447601.

It is a super-2 number, since 2×106744950² = 22788968701005000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415222 + ... + 415478.

It is an arithmetic number, because the mean of its divisors is an integer number (2183454).

Almost surely, 2^106744950 is an apocalyptic number.

106744950 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 106744950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

106744950 is an abundant number, since it is smaller than the sum of its proper divisors (207672426).

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

106744950 is a wasteful number, since it uses less digits than its factorization.

106744950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106744950 is about 10331.7447703667. The cubic root of 106744950 is about 474.3684311713.

The spelling of 106744950 in words is "one hundred six million, seven hundred forty-four thousand, nine hundred fifty".