101167920 has 160 divisors (see below), whose sum is σ = 398307840. Its totient is φ = 23120640.

The previous prime is 101167909. The next prime is 101167933. The reversal of 101167920 is 29761101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11775 + ... + 18465.

It is an arithmetic number, because the mean of its divisors is an integer number (2489424).

Almost surely, 2^101167920 is an apocalyptic number.

101167920 is a gapful number since it is divisible by the number (10) 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 101167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199153920).

101167920 is an abundant number, since it is smaller than the sum of its proper divisors (297139920).

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

101167920 is a wasteful number, since it uses less digits than its factorization.

101167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 101167920 is about 10058.2264838290. The cubic root of 101167920 is about 465.9588953533.

The spelling of 101167920 in words is "one hundred one million, one hundred sixty-seven thousand, nine hundred twenty".