100676576 has 144 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 36126720.

The previous prime is 100676557. The next prime is 100676579. The reversal of 100676576 is 675676001.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100676579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224000 + ... + 224448.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^100676576 is an apocalyptic number.

100676576 is a gapful number since it is divisible by the number (16) 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 100676576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

100676576 is an abundant number, since it is smaller than the sum of its proper divisors (170803024).

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

100676576 is a wasteful number, since it uses less digits than its factorization.

100676576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 100676576 is about 10033.7717733662. The cubic root of 100676576 is about 465.2033272741.

It can be divided in two parts, 100 and 676576, that added together give a palindrome (676676).

The spelling of 100676576 in words is "one hundred million, six hundred seventy-six thousand, five hundred seventy-six".