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106538358500 = 22537291049639
BaseRepresentation
bin110001100111000101…
…1100101011011100100
3101011222211201100221122
41203032023211123210
53221142304433000
6120535410433112
710461056051120
oct1431613453344
9334884640848
10106538358500
1141201142672
1218793592798
13a07b2a0c22
14522956c580
152b88266085
hex18ce2e56e4

106538358500 has 96 divisors (see below), whose sum is σ = 275089651200. Its totient is φ = 35267836800.

The previous prime is 106538358499. The next prime is 106538358503. The reversal of 106538358500 is 5853835601.

It is a super-2 number, since 2×1065383585002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106538358503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423320 + ... + 626319.

It is an arithmetic number, because the mean of its divisors is an integer number (2865517200).

Almost surely, 2106538358500 is an apocalyptic number.

106538358500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106538358500 is an abundant number, since it is smaller than the sum of its proper divisors (168551292700).

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

106538358500 is a wasteful number, since it uses less digits than its factorization.

106538358500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049694 (or 1049682 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 106538358500 in words is "one hundred six billion, five hundred thirty-eight million, three hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 125 140 145 175 203 250 290 350 406 500 580 700 725 812 875 1015 1450 1750 2030 2900 3500 3625 4060 5075 7250 10150 14500 20300 25375 50750 101500 1049639 2099278 4198556 5248195 7347473 10496390 14694946 20992780 26240975 29389892 30439531 36737365 52481950 60879062 73474730 104963900 121758124 131204875 146949460 152197655 183686825 213076717 262409750 304395310 367373650 426153434 524819500 608790620 734747300 760988275 852306868 918434125 1065383585 1521976550 1836868250 2130767170 3043953100 3673736500 3804941375 4261534340 5326917925 7609882750 10653835850 15219765500 21307671700 26634589625 53269179250 106538358500