100968416 has 12 divisors (see below), whose sum is σ = 198781632. Its totient is φ = 50484192.

The previous prime is 100968407. The next prime is 100968419. The reversal of 100968416 is 614869001.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100968419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1577600 + ... + 1577663.

It is an arithmetic number, because the mean of its divisors is an integer number (16565136).

Almost surely, 2^100968416 is an apocalyptic number.

100968416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100968416 is a deficient number, since it is larger than the sum of its proper divisors (97813216).

100968416 is an equidigital number, since it uses as much as digits as its factorization.

100968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155273 (or 3155265 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 100968416 is about 10048.3041355246. The cubic root of 100968416 is about 465.6524021589.

The spelling of 100968416 in words is "one hundred million, nine hundred sixty-eight thousand, four hundred sixteen".