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101155104 = 25322315271
BaseRepresentation
bin1100000011110…
…00000100100000
321001100012201100
412001320010200
5201343430404
614012034400
72335542561
oct601700440
9231305640
10101155104
1152110366
1229a62a00
1317c594bb
14d612168
158d31d39
hex6078120

101155104 has 72 divisors (see below), whose sum is σ = 300186432. Its totient is φ = 32250240.

The previous prime is 101155039. The next prime is 101155129. The reversal of 101155104 is 401551101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1012 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (4169256).

Almost surely, 2101155104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150093216).

101155104 is an abundant number, since it is smaller than the sum of its proper divisors (199031328).

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

101155104 is a wasteful number, since it uses less digits than its factorization.

101155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15310 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 101155104 is about 10057.5893732047. The cubic root of 101155104 is about 465.9392185579.

The spelling of 101155104 in words is "one hundred one million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 15271 30542 45813 61084 91626 122168 137439 183252 244336 274878 351233 366504 488672 549756 702466 733008 1053699 1099512 1404932 1466016 2107398 2199024 2809864 3161097 4214796 4398048 5619728 6322194 8429592 11239456 12644388 16859184 25288776 33718368 50577552 101155104