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101324106 = 23213569761
BaseRepresentation
bin1100000101000…
…01010101001010
321001122210112200
412002201111022
5201414332411
614015421030
72340145362
oct602412512
9231583480
10101324106
1152216334
1229b24776
1317cb83c0
14d6579a2
158d66e56
hex60a154a

101324106 has 48 divisors (see below), whose sum is σ = 237149640. Its totient is φ = 31080960.

The previous prime is 101324101. The next prime is 101324117. The reversal of 101324106 is 601423101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17766225 + 83557881 = 4215^2 + 9141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101324101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132766 + ... + 133526.

Almost surely, 2101324106 is an apocalyptic number.

101324106 is an abundant number, since it is smaller than the sum of its proper divisors (135825534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101324106 is a wasteful number, since it uses less digits than its factorization.

101324106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101324106 is about 10065.9875819514. The cubic root of 101324106 is about 466.1985590621.

Adding to 101324106 its reverse (601423101), we get a palindrome (702747207).

The spelling of 101324106 in words is "one hundred one million, three hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 569 761 1138 1522 1707 2283 3414 4566 5121 6849 7397 9893 10242 13698 14794 19786 22191 29679 44382 59358 66573 89037 133146 178074 433009 866018 1299027 2598054 3897081 5629117 7794162 11258234 16887351 33774702 50662053 101324106