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106110613 = 7312412029
BaseRepresentation
bin1100101001100…
…01111010010101
321101122222101201
412110301322111
5204131014423
614310152501
72425632250
oct624617225
9241588351
10106110613
1154995524
122b652731
1318ca2c5b
1410142097
1594b02ad
hex6531e95

106110613 has 16 divisors (see below), whose sum is σ = 125762560. Its totient is φ = 87609600.

The previous prime is 106110593. The next prime is 106110619. The reversal of 106110613 is 316011601.

It is a cyclic number.

It is not a de Polignac number, because 106110613 - 221 = 104013461 is a prime.

It is a super-2 number, since 2×1061106132 = 22518924382471538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106110619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51283 + ... + 53311.

It is an arithmetic number, because the mean of its divisors is an integer number (7860160).

Almost surely, 2106110613 is an apocalyptic number.

It is an amenable number.

106110613 is a deficient number, since it is larger than the sum of its proper divisors (19651947).

106110613 is a wasteful number, since it uses less digits than its factorization.

106110613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106110613 is about 10301.0005824677. Note that the first 3 decimals coincide. The cubic root of 106110613 is about 473.4269112853.

It can be divided in two parts, 1061106 and 13, that multiplied together give a triangular number (13794378 = T5252).

The spelling of 106110613 in words is "one hundred six million, one hundred ten thousand, six hundred thirteen".

Divisors: 1 7 31 217 241 1687 2029 7471 14203 52297 62899 440293 488989 3422923 15158659 106110613