100677816 has 112 divisors (see below), whose sum is σ = 288683160. Its totient is φ = 32892480.

The previous prime is 100677809. The next prime is 100677833. The reversal of 100677816 is 618776001.

It is a happy number.

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 27 ways as a sum of consecutive naturals, for example, 355611 + ... + 355893.

Almost surely, 2^100677816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100677816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144341580).

100677816 is an abundant number, since it is smaller than the sum of its proper divisors (188005344).

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

100677816 is an equidigital number, since it uses as much as digits as its factorization.

100677816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 100677816 is about 10033.8335644957. The cubic root of 100677816 is about 465.2052371846.

The spelling of 100677816 in words is "one hundred million, six hundred seventy-seven thousand, eight hundred sixteen".