100961952 has 216 divisors, whose sum is σ = 336462336. Its totient is φ = 26417664.

The previous prime is 100961941. The next prime is 100961957. The reversal of 100961952 is 259169001.

It is not an unprimeable number, because it can be changed into a prime (100961957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794913 + ... + 795039.

It is an arithmetic number, because the mean of its divisors is an integer number (1557696).

Almost surely, 2^100961952 is an apocalyptic number.

100961952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168231168).

100961952 is an abundant number, since it is smaller than the sum of its proper divisors (235500384).

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

100961952 is a wasteful number, since it uses less digits than its factorization.

100961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 100961952 is about 10047.9824840612. The cubic root of 100961952 is about 465.6424649215.

The spelling of 100961952 in words is "one hundred million, nine hundred sixty-one thousand, nine hundred fifty-two".