100868544 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 27786240.

The previous prime is 100868527. The next prime is 100868561. The reversal of 100868544 is 445868001.

100868544 is a `hidden beast` number, since 100 + 8 + 6 + 8 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (100868527) and next prime (100868561).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 100868499 and 100868508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374842 + ... + 375110.

Almost surely, 2^100868544 is an apocalyptic number.

100868544 is a gapful number since it is divisible by the number (14) 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 100868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

100868544 is an abundant number, since it is smaller than the sum of its proper divisors (250261056).

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

100868544 is a wasteful number, since it uses less digits than its factorization.

100868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 100868544 is about 10043.3333112070. Note that the first 4 decimals coincide. The cubic root of 100868544 is about 465.4988195486.

The spelling of 100868544 in words is "one hundred million, eight hundred sixty-eight thousand, five hundred forty-four".