100677672 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 31173120.

The previous prime is 100677671. The next prime is 100677683. The reversal of 100677672 is 276776001.

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

It is not an unprimeable number, because it can be changed into a prime (100677671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101097 + ... + 102087.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^100677672 is an apocalyptic number.

100677672 is a gapful number since it is divisible by the number (12) 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 100677672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

100677672 is an abundant number, since it is smaller than the sum of its proper divisors (191803608).

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

100677672 is a wasteful number, since it uses less digits than its factorization.

100677672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 100677672 is about 10033.8263887711. The cubic root of 100677672 is about 465.2050153894.

The spelling of 100677672 in words is "one hundred million, six hundred seventy-seven thousand, six hundred seventy-two".