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105236157 = 3132993047
BaseRepresentation
bin1100100010111…
…00011010111101
321100000112212110
412101130122331
5203420024112
614235324233
72415330645
oct621343275
9240015773
10105236157
1154448534
122b2b0679
1318a57c20
14dd95525
15938b13c
hex645c6bd

105236157 has 16 divisors (see below), whose sum is σ = 156320640. Its totient is φ = 62526912.

The previous prime is 105236141. The next prime is 105236189. The reversal of 105236157 is 751632501.

It is not a de Polignac number, because 105236157 - 24 = 105236141 is a prime.

It is a super-2 number, since 2×1052361572 = 22149297480257298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236057) 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, 45393 + ... + 47654.

It is an arithmetic number, because the mean of its divisors is an integer number (9770040).

Almost surely, 2105236157 is an apocalyptic number.

It is an amenable number.

105236157 is a deficient number, since it is larger than the sum of its proper divisors (51084483).

105236157 is a wasteful number, since it uses less digits than its factorization.

105236157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93092.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105236157 is about 10258.4675756177. The cubic root of 105236157 is about 472.1228209653.

Adding to 105236157 its reverse (751632501), we get a palindrome (856868658).

The spelling of 105236157 in words is "one hundred five million, two hundred thirty-six thousand, one hundred fifty-seven".

Divisors: 1 3 13 29 39 87 377 1131 93047 279141 1209611 2698363 3628833 8095089 35078719 105236157