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106337609532 = 223271138361331
BaseRepresentation
bin110001100001000110…
…1110010011100111100
3101011110211222021010200
41203002031302130330
53220234412001112
6120503440003500
710453100524140
oct1430215623474
9334424867120
10106337609532
1141108898a30
1218738300590
13a048813a5b
14520aa33220
152b7580ecdc
hex18c237273c

106337609532 has 72 divisors (see below), whose sum is σ = 335124596352. Its totient is φ = 27620157600.

The previous prime is 106337609527. The next prime is 106337609533. The reversal of 106337609532 is 235906733601.

106337609532 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 7 + 609 + 5 + 32 = 666.

It is a super-2 number, since 2×1063376095322 (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 (106337609533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19177894 + ... + 19183437.

Almost surely, 2106337609532 is an apocalyptic number.

106337609532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106337609532 is an abundant number, since it is smaller than the sum of its proper divisors (228786986820).

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

106337609532 is a wasteful number, since it uses less digits than its factorization.

106337609532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38361359 (or 38361354 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 106337609532 in words is "one hundred six billion, three hundred thirty-seven million, six hundred nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 38361331 76722662 115083993 153445324 230167986 268529317 345251979 421974641 460335972 537058634 690503958 805587951 843949282 1074117268 1265923923 1381007916 1611175902 1687898564 2416763853 2531847846 2953822487 3222351804 3797771769 4833527706 5063695692 5907644974 7595543538 8861467461 9667055412 11815289948 15191087076 17722934922 26584402383 35445869844 53168804766 106337609532