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100105500110055 = 351126321791058671
BaseRepresentation
bin10110110000101110100000…
…110001100010110011100111
3111010102222210102101102010020
4112300232200301202303213
5101110112031012010210
6552523455404130223
730041245420241106
oct2660564061426347
9433388712342106
10100105500110055
1129995560081380
12b289149536973
1343b1ba62a747b
141aa11bc51803d
15b88e917eb770
hex5b0ba0c62ce7

100105500110055 has 64 divisors (see below), whose sum is σ = 175474629918720. Its totient is φ = 48329217129600.

The previous prime is 100105500110041. The next prime is 100105500110081. The reversal of 100105500110055 is 550011005501001.

It is not a de Polignac number, because 100105500110055 - 26 = 100105500109991 is a prime.

It is a super-2 number, since 2×1001055001100552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94028370 + ... + 95087040.

It is an arithmetic number, because the mean of its divisors is an integer number (2741791092480).

Almost surely, 2100105500110055 is an apocalyptic number.

100105500110055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100105500110055 is a deficient number, since it is larger than the sum of its proper divisors (75369129808665).

100105500110055 is a wasteful number, since it uses less digits than its factorization.

100105500110055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061132.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 100105500110055 its reverse (550011005501001), we get a palindrome (650116505611056).

The spelling of 100105500110055 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred ten thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 165 263 789 1315 2179 2893 3945 6537 8679 10895 14465 23969 32685 43395 71907 119845 359535 573077 1058671 1719231 2865385 3176013 5293355 6303847 8596155 11645381 15880065 18911541 31519235 34936143 58226905 94557705 174680715 278430473 835291419 1392152365 2306844109 3062735203 4176457095 6920532327 9188205609 11534220545 15313676015 25375285199 34602661635 45941028045 76125855597 126876425995 380629277985 606700000667 1820100002001 3033500003335 6673700007337 9100500010005 20021100022011 33368500036685 100105500110055