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105142650 = 23526111491
BaseRepresentation
bin1100100010001…
…01100101111010
321022211210121020
412101011211322
5203404031100
614233323310
72414461224
oct621054572
9238753536
10105142650
1154394258
122b266536
1318a244b2
14dd6d414
15936d5a0
hex644597a

105142650 has 48 divisors (see below), whose sum is σ = 265051488. Its totient is φ = 27576000.

The previous prime is 105142649. The next prime is 105142651. The reversal of 105142650 is 56241501.

It is an interprime number because it is at equal distance from previous prime (105142649) and next prime (105142651).

It is a super-2 number, since 2×1051426502 = 22109953698045000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105142650.

It is not an unprimeable number, because it can be changed into a prime (105142651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (5521906).

Almost surely, 2105142650 is an apocalyptic number.

105142650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105142650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132525744).

105142650 is an abundant number, since it is smaller than the sum of its proper divisors (159908838).

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

105142650 is a wasteful number, since it uses less digits than its factorization.

105142650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105142650 is about 10253.9090107139. The cubic root of 105142650 is about 471.9829454960.

The spelling of 105142650 in words is "one hundred five million, one hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 3050 4575 9150 11491 22982 34473 57455 68946 114910 172365 287275 344730 574550 700951 861825 1401902 1723650 2102853 3504755 4205706 7009510 10514265 17523775 21028530 35047550 52571325 105142650