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100105060 = 225112291987
BaseRepresentation
bin1011111011101…
…11101101100100
320222100212022211
411331313231210
5201111330220
613533333204
72323610326
oct575675544
9228325284
10100105060
1151563460
1229637204
131797c583
14d41b616
158bc5b5a
hex5f77b64

100105060 has 48 divisors (see below), whose sum is σ = 230448960. Its totient is φ = 36224640.

The previous prime is 100105037. The next prime is 100105063. The reversal of 100105060 is 60501001.

It is a self number, because there is not a number n which added to its sum of digits gives 100105060.

It is not an unprimeable number, because it can be changed into a prime (100105063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49387 + ... + 51373.

It is an arithmetic number, because the mean of its divisors is an integer number (4801020).

Almost surely, 2100105060 is an apocalyptic number.

100105060 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 100105060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115224480).

100105060 is an abundant number, since it is smaller than the sum of its proper divisors (130343900).

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

100105060 is a wasteful number, since it uses less digits than its factorization.

100105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100105060 is about 10005.2516210238. The cubic root of 100105060 is about 464.3213749110.

Adding to 100105060 its reverse (60501001), we get a palindrome (160606061).

The spelling of 100105060 in words is "one hundred million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 1987 2290 2519 3974 4580 5038 7948 9935 10076 12595 19870 21857 25190 39740 43714 50380 87428 109285 218570 437140 455023 910046 1820092 2275115 4550230 5005253 9100460 10010506 20021012 25026265 50052530 100105060