100677104 has 80 divisors (see below), whose sum is σ = 222735744. Its totient is φ = 43680000.

The previous prime is 100677089. The next prime is 100677131. The reversal of 100677104 is 401776001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400979 + ... + 401229.

Almost surely, 2^100677104 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 100677104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367872).

100677104 is an abundant number, since it is smaller than the sum of its proper divisors (122058640).

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

100677104 is a wasteful number, since it uses less digits than its factorization.

100677104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 100677104 is about 10033.7980844743. The cubic root of 100677104 is about 465.2041405282.

It can be divided in two parts, 10067 and 7104, that added together give a palindrome (17171).

The spelling of 100677104 in words is "one hundred million, six hundred seventy-seven thousand, one hundred four".