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106556610501 = 32117115159569
BaseRepresentation
bin110001100111101000…
…1001101011111000101
3101012001010001122222200
41203033101031133011
53221211443014001
6120541301545113
710461400150005
oct1431721153705
9335033048880
10106556610501
1141210479670
1218799715199
13a081cc1823
14522bb60005
152b89b6e086
hex18cf44d7c5

106556610501 has 24 divisors (see below), whose sum is σ = 170272290240. Its totient is φ = 63670185600.

The previous prime is 106556610493. The next prime is 106556610509. The reversal of 106556610501 is 105016655601.

It is an interprime number because it is at equal distance from previous prime (106556610493) and next prime (106556610509).

It is not a de Polignac number, because 106556610501 - 23 = 106556610493 is a prime.

It is a super-2 number, since 2×1065566105012 (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 (106556610509) 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, 7572756 + ... + 7586813.

It is an arithmetic number, because the mean of its divisors is an integer number (7094678760).

Almost surely, 2106556610501 is an apocalyptic number.

106556610501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106556610501 is a deficient number, since it is larger than the sum of its proper divisors (63715679739).

106556610501 is a wasteful number, since it uses less digits than its factorization.

106556610501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159657 (or 15159654 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106556610501 in words is "one hundred six billion, five hundred fifty-six million, six hundred ten thousand, five hundred one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 15159569 45478707 136436121 166755259 500265777 1076329399 1500797331 3228988197 9686964591 11839623389 35518870167 106556610501