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106372365 = 35113371913
BaseRepresentation
bin1100101011100…
…01110100001101
321102011021110020
412111301310031
5204212403430
614315532353
72431102341
oct625616415
9242137406
10106372365
1155054150
122b75a0b9
1319065138
14101ad621
159512b10
hex6571d0d

106372365 has 32 divisors (see below), whose sum is σ = 186316416. Its totient is φ = 51394560.

The previous prime is 106372351. The next prime is 106372369. The reversal of 106372365 is 563273601.

It is not a de Polignac number, because 106372365 - 28 = 106372109 is a prime.

It is a super-2 number, since 2×1063723652 = 22630160071386450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106372369) 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, 54649 + ... + 56561.

It is an arithmetic number, because the mean of its divisors is an integer number (5822388).

Almost surely, 2106372365 is an apocalyptic number.

106372365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106372365 is a deficient number, since it is larger than the sum of its proper divisors (79944051).

106372365 is a wasteful number, since it uses less digits than its factorization.

106372365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 106372365 is about 10313.6979304224. The cubic root of 106372365 is about 473.8158723320.

The spelling of 106372365 in words is "one hundred six million, three hundred seventy-two thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 337 1011 1685 1913 3707 5055 5739 9565 11121 18535 21043 28695 55605 63129 105215 315645 644681 1934043 3223405 7091491 9670215 21274473 35457455 106372365