101190960 has 240 divisors, whose sum is σ = 385912800. Its totient is φ = 23556096.

The previous prime is 101190949. The next prime is 101190977. The reversal of 101190960 is 69091101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101190960² = 20479220771443200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177556 + ... + 178124.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^101190960 is an apocalyptic number.

101190960 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 101190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

101190960 is an abundant number, since it is smaller than the sum of its proper divisors (284721840).

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

101190960 is a wasteful number, since it uses less digits than its factorization.

101190960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 101190960 is about 10059.3717497665. The cubic root of 101190960 is about 465.9942651888.

The spelling of 101190960 in words is "one hundred one million, one hundred ninety thousand, nine hundred sixty".