101950112 has 48 divisors (see below), whose sum is σ = 222717600. Its totient is φ = 45546240.

The previous prime is 101950091. The next prime is 101950117. The reversal of 101950112 is 211059101.

101950112 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (101950117) 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, 18314 + ... + 23222.

It is an arithmetic number, because the mean of its divisors is an integer number (4639950).

Almost surely, 2^101950112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101950112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111358800).

101950112 is an abundant number, since it is smaller than the sum of its proper divisors (120767488).

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

101950112 is a wasteful number, since it uses less digits than its factorization.

101950112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 20.

The square root of 101950112 is about 10097.0348122605. The cubic root of 101950112 is about 467.1566861859.

The spelling of 101950112 in words is "one hundred one million, nine hundred fifty thousand, one hundred twelve".