101936160 has 144 divisors (see below), whose sum is σ = 359999640. Its totient is φ = 26234880.

The previous prime is 101936143. The next prime is 101936167. The reversal of 101936160 is 61639101.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 40908816 = 7812^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101936167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40540 + ... + 42980.

Almost surely, 2^101936160 is an apocalyptic number.

101936160 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 101936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179999820).

101936160 is an abundant number, since it is smaller than the sum of its proper divisors (258063480).

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

101936160 is a wasteful number, since it uses less digits than its factorization.

101936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101936160 is about 10096.3438927168. The cubic root of 101936160 is about 467.1353748887.

The spelling of 101936160 in words is "one hundred one million, nine hundred thirty-six thousand, one hundred sixty".