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106003435876 = 221317197979889
BaseRepresentation
bin110001010111001001…
…1000001000101100100
3101010121120011111001121
41202232103001011210
53214043334422001
6120410341303324
710441602224002
oct1425623010544
9333546144047
10106003435876
1140a571a3358
1218664404b44
139cc450c370
1451b84c5a72
152b563006a1
hex18ae4c1164

106003435876 has 96 divisors (see below), whose sum is σ = 225481536000. Its totient is φ = 43070496768.

The previous prime is 106003435873. The next prime is 106003435903. The reversal of 106003435876 is 678534300601.

It is a super-2 number, since 2×1060034358762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106003435873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286940 + ... + 1366828.

It is an arithmetic number, because the mean of its divisors is an integer number (2348766000).

Almost surely, 2106003435876 is an apocalyptic number.

It is an amenable number.

106003435876 is an abundant number, since it is smaller than the sum of its proper divisors (119478100124).

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

106003435876 is a wasteful number, since it uses less digits than its factorization.

106003435876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80021 (or 80019 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 106003435876 in words is "one hundred six billion, three million, four hundred thirty-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 17 19 26 34 38 52 68 76 79 158 221 247 316 323 442 494 646 884 988 1027 1292 1343 1501 2054 2686 3002 4108 4199 5372 6004 8398 16796 17459 19513 25517 34918 39026 51034 69836 78052 79889 102068 159778 319556 331721 663442 1038557 1326884 1358113 1517891 2077114 2716226 3035782 4154228 5432452 6071564 6311231 12622462 17655469 19732583 25244924 25804147 35310938 39465166 51608294 70621876 78930332 82046003 103216588 107290927 119913389 164092006 214581854 239826778 328184012 335453911 429163708 479653556 670907822 1341815644 1394782051 1558874057 2038527613 2789564102 3117748114 4077055226 5579128204 6235496228 8154110452 26500858969 53001717938 106003435876