101105950 has 24 divisors (see below), whose sum is σ = 205154280. Its totient is φ = 36765600.

The previous prime is 101105947. The next prime is 101105951. The reversal of 101105950 is 59501101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91365 + ... + 92464.

It is an arithmetic number, because the mean of its divisors is an integer number (8548095).

Almost surely, 2^101105950 is an apocalyptic number.

101105950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101105950 is an abundant number, since it is smaller than the sum of its proper divisors (104048330).

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

101105950 is a wasteful number, since it uses less digits than its factorization.

101105950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183852 (or 183847 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

The square root of 101105950 is about 10055.1454489729. The cubic root of 101105950 is about 465.8637355088.

The spelling of 101105950 in words is "one hundred one million, one hundred five thousand, nine hundred fifty".