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106116606615 = 35233779105229
BaseRepresentation
bin110001011010100001…
…0101110101010010111
3101010220110010011010110
41202311002232222113
53214311322402430
6120425503054103
710444445162565
oct1426502565227
9333813104113
10106116606615
1141005070198
12186962a1333
13a011ab49b6
1451c9544a35
152b612077b0
hex18b50aea97

106116606615 has 64 divisors (see below), whose sum is σ = 184261939200. Its totient is φ = 52004519424.

The previous prime is 106116606611. The next prime is 106116606619. The reversal of 106116606615 is 516606611601.

It is an interprime number because it is at equal distance from previous prime (106116606611) and next prime (106116606619).

It is not a de Polignac number, because 106116606615 - 22 = 106116606611 is a prime.

It is a super-2 number, since 2×1061166066152 (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 (106116606611) 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 63 ways as a sum of consecutive naturals, for example, 955821 + ... + 1061049.

It is an arithmetic number, because the mean of its divisors is an integer number (2879092800).

Almost surely, 2106116606615 is an apocalyptic number.

106116606615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106116606615 is a deficient number, since it is larger than the sum of its proper divisors (78145332585).

106116606615 is a wasteful number, since it uses less digits than its factorization.

106116606615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105376.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 106116606615 in words is "one hundred six billion, one hundred sixteen million, six hundred six thousand, six hundred fifteen".

Divisors: 1 3 5 15 23 37 69 79 111 115 185 237 345 395 555 851 1185 1817 2553 2923 4255 5451 8769 9085 12765 14615 27255 43845 67229 105229 201687 315687 336145 526145 1008435 1578435 2420267 3893473 7260801 8313091 11680419 12101335 19467365 24939273 36304005 41565455 58402095 89549879 124696365 191201093 268649637 307584367 447749395 573603279 922753101 956005465 1343248185 1537921835 2868016395 4613765505 7074440441 21223321323 35372202205 106116606615