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103139325 = 345231253
BaseRepresentation
bin1100010010111…
…00011111111101
321012002000120000
412021130133331
5202400424300
614122344513
72361445512
oct611343775
9235060500
10103139325
1153246113
122a65b139
13184a26b3
14d9ab309
1590c4c00
hex625c7fd

103139325 has 90 divisors (see below), whose sum is σ = 201136122. Its totient is φ = 52228800.

The previous prime is 103139321. The next prime is 103139329. The reversal of 103139325 is 523931301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103139321) and next prime (103139329).

It can be written as a sum of positive squares in 3 ways, for example, as 13155129 + 89984196 = 3627^2 + 9486^2 .

It is not a de Polignac number, because 103139325 - 22 = 103139321 is a prime.

It is a super-2 number, since 2×1031393252 = 21275440722911250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103139321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1945999 + ... + 1946051.

Almost surely, 2103139325 is an apocalyptic number.

103139325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103139325 is a deficient number, since it is larger than the sum of its proper divisors (97996797).

103139325 is an equidigital number, since it uses as much as digits as its factorization.

103139325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103139325 is about 10155.7532955463. The cubic root of 103139325 is about 468.9660763815.

The spelling of 103139325 in words is "one hundred three million, one hundred thirty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 53 75 81 93 135 155 159 225 265 279 405 465 477 675 775 795 837 961 1325 1395 1431 1643 2025 2325 2385 2511 2883 3975 4185 4293 4805 4929 6975 7155 8215 8649 11925 12555 14415 14787 20925 21465 24025 24645 25947 35775 41075 43245 44361 50933 62775 72075 73935 77841 107325 123225 129735 133083 152799 216225 221805 254665 369675 389205 458397 648675 665415 763995 1109025 1273325 1375191 1946025 2291985 3327075 3819975 4125573 6875955 11459925 20627865 34379775 103139325