100968660 has 192 divisors, whose sum is σ = 356563200. Its totient is φ = 23514624.

The previous prime is 100968617. The next prime is 100968667. The reversal of 100968660 is 66869001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100968667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133002 + ... + 133758.

It is an arithmetic number, because the mean of its divisors is an integer number (1857100).

Almost surely, 2^100968660 is an apocalyptic number.

100968660 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 100968660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178281600).

100968660 is an abundant number, since it is smaller than the sum of its proper divisors (255594540).

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

100968660 is a wasteful number, since it uses less digits than its factorization.

100968660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 100968660 is about 10048.3162768695. The cubic root of 100968660 is about 465.6527772568.

The spelling of 100968660 in words is "one hundred million, nine hundred sixty-eight thousand, six hundred sixty".