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106501060560 = 2435443754419
BaseRepresentation
bin110001100101111110…
…1010011011111010000
3101011220020112102210110
41203023331103133100
53221103232414220
6120531555201320
710460124035556
oct1431375233720
9334806472713
10106501060560
1141192088124
1218782ba6240
13a07364223b
14522461dbd6
152b84d49be0
hex18cbf537d0

106501060560 has 40 divisors (see below), whose sum is σ = 330153288480. Its totient is φ = 28400282752.

The previous prime is 106501060559. The next prime is 106501060579. The reversal of 106501060560 is 65060105601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1065010605602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221876970 + ... + 221877449.

It is an arithmetic number, because the mean of its divisors is an integer number (8253832212).

Almost surely, 2106501060560 is an apocalyptic number.

106501060560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106501060560 is an abundant number, since it is smaller than the sum of its proper divisors (223652227920).

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

106501060560 is a wasteful number, since it uses less digits than its factorization.

106501060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443754435 (or 443754429 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106501060560 in words is "one hundred six billion, five hundred one million, sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443754419 887508838 1331263257 1775017676 2218772095 2662526514 3550035352 4437544190 5325053028 6656316285 7100070704 8875088380 10650106056 13312632570 17750176760 21300212112 26625265140 35500353520 53250530280 106501060560