100962381 has 48 divisors (see below), whose sum is σ = 156323328. Its totient is φ = 57542400.

The previous prime is 100962361. The next prime is 100962383. The reversal of 100962381 is 183269001.

It is not a de Polignac number, because 100962381 - 2⁵ = 100962349 is a prime.

It is a super-3 number, since 3×100962381³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100962383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655091 + ... + 1655151.

It is an arithmetic number, because the mean of its divisors is an integer number (3256736).

Almost surely, 2^100962381 is an apocalyptic number.

It is an amenable number.

100962381 is a deficient number, since it is larger than the sum of its proper divisors (55360947).

100962381 is a wasteful number, since it uses less digits than its factorization.

100962381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 100962381 is about 10048.0038316075. The cubic root of 100962381 is about 465.6431244450.

The spelling of 100962381 in words is "one hundred million, nine hundred sixty-two thousand, three hundred eighty-one".