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106553602520 = 23513929576481
BaseRepresentation
bin110001100111100010…
…1101111000111011000
3101012000220101211210222
41203033011233013120
53221210210240040
6120541113255212
710461332451251
oct1431705570730
9335026354728
10106553602520
1141209804732
1218798704508
13a0814aa661
14522b5b9b28
152b89777bb5
hex18cf16f1d8

106553602520 has 64 divisors (see below), whose sum is σ = 241589325600. Its totient is φ = 42293975040.

The previous prime is 106553602511. The next prime is 106553602523. The reversal of 106553602520 is 25206355601.

106553602520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065536025202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106553602523) 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, 16437680 + ... + 16444160.

Almost surely, 2106553602520 is an apocalyptic number.

106553602520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106553602520 is an abundant number, since it is smaller than the sum of its proper divisors (135035723080).

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

106553602520 is a wasteful number, since it uses less digits than its factorization.

106553602520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 106553602520 in words is "one hundred six billion, five hundred fifty-three million, six hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 2957 5560 5914 6481 11828 12962 14785 23656 25924 29570 32405 51848 59140 64810 118280 129620 259240 411023 822046 900859 1644092 1801718 2055115 3288184 3603436 4110230 4504295 7206872 8220460 9008590 16440920 18017180 19164317 36034360 38328634 76657268 95821585 153314536 191643170 383286340 766572680 2663840063 5327680126 10655360252 13319200315 21310720504 26638400630 53276801260 106553602520