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106137474560 = 295133189227
BaseRepresentation
bin110001011011001001…
…0010101011000000000
3101010221220101100120022
41202312102111120000
53214332143141220
6120431530233012
710445120435225
oct1426622253000
9333856340508
10106137474560
1141015923627
12186a1285768
13a0162101b0
1451cc21794c
152b62e7a925
hex18b6495600

106137474560 has 80 divisors (see below), whose sum is σ = 274056740496. Its totient is φ = 39189209088.

The previous prime is 106137474559. The next prime is 106137474577. The reversal of 106137474560 is 65474731601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1061374745602 (a number of 23 digits) contains 22 as substring.

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, 1561334 + ... + 1627893.

Almost surely, 2106137474560 is an apocalyptic number.

106137474560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106137474560 is an abundant number, since it is smaller than the sum of its proper divisors (167919265936).

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

106137474560 is an equidigital number, since it uses as much as digits as its factorization.

106137474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189263 (or 3189247 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 106137474560 in words is "one hundred six billion, one hundred thirty-seven million, four hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 3189227 6378454 12756908 15946135 25513816 31892270 41459951 51027632 63784540 82919902 102055264 127569080 165839804 204110528 207299755 255138160 331679608 408221056 414599510 510276320 663359216 816442112 829199020 1020552640 1326718432 1632884224 1658398040 2041105280 2653436864 3316796080 4082210560 5306873728 6633592160 8164421120 10613747456 13267184320 21227494912 26534368640 53068737280 106137474560