100983168 has 192 divisors, whose sum is σ = 341948880. Its totient is φ = 28200960.

The previous prime is 100983149. The next prime is 100983187. The reversal of 100983168 is 861389001.

It is an interprime number because it is at equal distance from previous prime (100983149) and next prime (100983187).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164430 + ... + 165042.

Almost surely, 2^100983168 is an apocalyptic number.

100983168 is a gapful number since it is divisible by the number (18) 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 100983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170974440).

100983168 is an abundant number, since it is smaller than the sum of its proper divisors (240965712).

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

100983168 is a wasteful number, since it uses less digits than its factorization.

100983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100983168 is about 10049.0381629288. The cubic root of 100983168 is about 465.6750791174.

The spelling of 100983168 in words is "one hundred million, nine hundred eighty-three thousand, one hundred sixty-eight".