101969120 has 144 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 35312640.

The previous prime is 101969113. The next prime is 101969159. The reversal of 101969120 is 21969101.

It is a super-3 number, since 3×101969120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445166 + ... + 445394.

It is an arithmetic number, because the mean of its divisors is an integer number (1927170).

Almost surely, 2^101969120 is an apocalyptic number.

101969120 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 101969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138756240).

101969120 is an abundant number, since it is smaller than the sum of its proper divisors (175543360).

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

101969120 is a wasteful number, since it uses less digits than its factorization.

101969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 101969120 is about 10097.9760348300. The cubic root of 101969120 is about 467.1857172559.

The spelling of 101969120 in words is "one hundred one million, nine hundred sixty-nine thousand, one hundred twenty".