105132720 has 160 divisors (see below), whose sum is σ = 406402560. Its totient is φ = 21841920.

The previous prime is 105132691. The next prime is 105132737. The reversal of 105132720 is 27231501.

It is a super-2 number, since 2×105132720² = 22105777629196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 15636 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (2540016).

Almost surely, 2^105132720 is an apocalyptic number.

105132720 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 105132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203201280).

105132720 is an abundant number, since it is smaller than the sum of its proper divisors (301269840).

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

105132720 is a wasteful number, since it uses less digits than its factorization.

105132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105132720 is about 10253.4247936970. The cubic root of 105132720 is about 471.9680865141.

The spelling of 105132720 in words is "one hundred five million, one hundred thirty-two thousand, seven hundred twenty".