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106002050 = 25271122503
BaseRepresentation
bin1100101000101…
…11011010000010
321101110110110212
412110113122002
5204114031200
614303554122
72425000610
oct624273202
9241413425
10106002050
1154920a00
122b5bb942
1318c6570b
14101146b0
15948d035
hex6517682

106002050 has 72 divisors (see below), whose sum is σ = 247775808. Its totient is φ = 33026400.

The previous prime is 106002049. The next prime is 106002073. The reversal of 106002050 is 50200601.

106002050 = T35 + T36 + ... + T859.

It is a super-2 number, since 2×1060020502 = 22472869208405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41099 + ... + 43601.

Almost surely, 2106002050 is an apocalyptic number.

106002050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106002050 is an abundant number, since it is smaller than the sum of its proper divisors (141773758).

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

106002050 is a wasteful number, since it uses less digits than its factorization.

106002050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 106002050 is about 10295.7296973065. The cubic root of 106002050 is about 473.2654000018.

Adding to 106002050 its reverse (50200601), we get a palindrome (156202651).

The spelling of 106002050 in words is "one hundred six million, two thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 121 154 175 242 275 350 385 550 605 770 847 1210 1694 1925 2503 3025 3850 4235 5006 6050 8470 12515 17521 21175 25030 27533 35042 42350 55066 62575 87605 125150 137665 175210 192731 275330 302863 385462 438025 605726 688325 876050 963655 1376650 1514315 1927310 2120041 3028630 4240082 4818275 7571575 9636550 10600205 15143150 21200410 53001025 106002050