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101107344 = 24313311521
BaseRepresentation
bin1100000011011…
…00011010010000
321001020210012110
412001230122100
5201340413334
614011025320
72335253412
oct601543220
9231223173
10101107344
1152088498
1229a3b240
1317c40840
14d5dc9b2
158d22ae9
hex606c690

101107344 has 80 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 30950400.

The previous prime is 101107343. The next prime is 101107397. The reversal of 101107344 is 443701101.

It is a self number, because there is not a number n which added to its sum of digits gives 101107344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101107343) 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, 193804 + ... + 194324.

Almost surely, 2101107344 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 101107344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

101107344 is an abundant number, since it is smaller than the sum of its proper divisors (181624560).

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

101107344 is a wasteful number, since it uses less digits than its factorization.

101107344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 101107344 is about 10055.2147664781. The cubic root of 101107344 is about 465.8658765337.

Adding to 101107344 its reverse (443701101), we get a palindrome (544808445).

The spelling of 101107344 in words is "one hundred one million, one hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 311 312 521 622 624 933 1042 1244 1563 1866 2084 2488 3126 3732 4043 4168 4976 6252 6773 7464 8086 8336 12129 12504 13546 14928 16172 20319 24258 25008 27092 32344 40638 48516 54184 64688 81276 97032 108368 162031 162552 194064 324062 325104 486093 648124 972186 1296248 1944372 2106403 2592496 3888744 4212806 6319209 7777488 8425612 12638418 16851224 25276836 33702448 50553672 101107344