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106109435 = 5314159283
BaseRepresentation
bin1100101001100…
…01100111111011
321101122220210002
412110301213323
5204131000220
614310143215
72425625645
oct624614773
9241586702
10106109435
1154994653
122b651b0b
1318ca2563
1410141895
1594aec75
hex65319fb

106109435 has 32 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 78508800.

The previous prime is 106109431. The next prime is 106109453. The reversal of 106109435 is 534901601.

It is not a de Polignac number, because 106109435 - 22 = 106109431 is a prime.

It is a super-2 number, since 2×1061094352 = 22518424392038450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106109398 and 106109407.

It is not an unprimeable number, because it can be changed into a prime (106109431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374804 + ... + 375086.

It is an arithmetic number, because the mean of its divisors is an integer number (4294080).

Almost surely, 2106109435 is an apocalyptic number.

106109435 is a deficient number, since it is larger than the sum of its proper divisors (31301125).

106109435 is a wasteful number, since it uses less digits than its factorization.

106109435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106109435 is about 10300.9434033976. The cubic root of 106109435 is about 473.4251593431.

The spelling of 106109435 in words is "one hundred six million, one hundred nine thousand, four hundred thirty-five".

Divisors: 1 5 31 41 59 155 205 283 295 1271 1415 1829 2419 6355 8773 9145 11603 12095 16697 43865 58015 74989 83485 359693 374945 517607 684577 1798465 2588035 3422885 21221887 106109435