105950950 has 48 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 35961120.

The previous prime is 105950941. The next prime is 105950951. The reversal of 105950950 is 59059501.

It is a super-2 number, since 2×105950950² = 22451207611805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105950951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34581 + ... + 37519.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^105950950 is an apocalyptic number.

105950950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105950950 is an abundant number, since it is smaller than the sum of its proper divisors (121534490).

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

105950950 is a wasteful number, since it uses less digits than its factorization.

105950950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 34.

The square root of 105950950 is about 10293.2477867775. The cubic root of 105950950 is about 473.1893393688.

The spelling of 105950950 in words is "one hundred five million, nine hundred fifty thousand, nine hundred fifty".