100967040 has 128 divisors (see below), whose sum is σ = 357652800. Its totient is φ = 26919936.

The previous prime is 100967039. The next prime is 100967047. The reversal of 100967040 is 40769001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100966995 and 100967013.

It is not an unprimeable number, because it can be changed into a prime (100967047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14359 + ... + 20201.

Almost surely, 2^100967040 is an apocalyptic number.

100967040 is a gapful number since it is divisible by the number (10) 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 100967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178826400).

100967040 is an abundant number, since it is smaller than the sum of its proper divisors (256685760).

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

100967040 is an equidigital number, since it uses as much as digits as its factorization.

100967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100967040 is about 10048.2356660262. The cubic root of 100967040 is about 465.6502868420.

The spelling of 100967040 in words is "one hundred million, nine hundred sixty-seven thousand, forty".