101667104 has 120 divisors (see below), whose sum is σ = 259741440. Its totient is φ = 38332800.

The previous prime is 101667047. The next prime is 101667113. The reversal of 101667104 is 401766101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3279569 + ... + 3279599.

It is an arithmetic number, because the mean of its divisors is an integer number (2164512).

Almost surely, 2^101667104 is an apocalyptic number.

101667104 is a gapful number since it is divisible by the number (14) 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 101667104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129870720).

101667104 is an abundant number, since it is smaller than the sum of its proper divisors (158074336).

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

101667104 is an frugal number, since it uses more digits than its factorization.

101667104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 101667104 is about 10083.0106615038. The cubic root of 101667104 is about 466.7240183482.

The spelling of 101667104 in words is "one hundred one million, six hundred sixty-seven thousand, one hundred four".