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1080108000 = 25335373137
BaseRepresentation
bin100000001100001…
…0010001111100000
32210021102011122000
41000120102033200
54203001424000
6255102244000
735523523626
oct10030221740
92707364560
101080108000
11504769144
12261886600
13142a0777a
14a3641516
1564c57000
hex406123e0

1080108000 has 384 divisors, whose sum is σ = 4014541440. Its totient is φ = 282009600.

The previous prime is 1080107999. The next prime is 1080108011. The reversal of 1080108000 is 8010801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7883932 + ... + 7884068.

It is an arithmetic number, because the mean of its divisors is an integer number (10454535).

Almost surely, 21080108000 is an apocalyptic number.

1080108000 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 1080108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007270720).

1080108000 is an abundant number, since it is smaller than the sum of its proper divisors (2934433440).

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

1080108000 is a wasteful number, since it uses less digits than its factorization.

1080108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1080108000 is about 32864.9965769053. The cubic root of 1080108000 is about 1026.0197663850.

Adding to 1080108000 its reverse (8010801), we get a palindrome (1088118801).

It can be divided in two parts, 1080 and 108000, that multiplied together give a square (116640000 = 108002).

The spelling of 1080108000 in words is "one billion, eighty million, one hundred eight thousand".