100678080 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 24330240.

The previous prime is 100678079. The next prime is 100678133. The reversal of 100678080 is 80876001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 505821 + ... + 506019.

Almost surely, 2^100678080 is an apocalyptic number.

100678080 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 100678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

100678080 is an abundant number, since it is smaller than the sum of its proper divisors (250451520).

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

100678080 is a wasteful number, since it uses less digits than its factorization.

100678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 100678080 is about 10033.8467199773. The cubic root of 100678080 is about 465.2056438087.

The spelling of 100678080 in words is "one hundred million, six hundred seventy-eight thousand, eighty".