100141950 has 48 divisors (see below), whose sum is σ = 251876736. Its totient is φ = 26325600.

The previous prime is 100141949. The next prime is 100141961. The reversal of 100141950 is 59141001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5949 + ... + 15351.

It is an arithmetic number, because the mean of its divisors is an integer number (5247432).

Almost surely, 2^100141950 is an apocalyptic number.

100141950 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 100141950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125938368).

100141950 is an abundant number, since it is smaller than the sum of its proper divisors (151734786).

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

100141950 is a wasteful number, since it uses less digits than its factorization.

100141950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 100141950 is about 10007.0949830608. The cubic root of 100141950 is about 464.3784040358.

Adding to 100141950 its reverse (59141001), we get a palindrome (159282951).

The spelling of 100141950 in words is "one hundred million, one hundred forty-one thousand, nine hundred fifty".