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10102104075 = 352731220023
BaseRepresentation
bin10010110100010000…
…11110000000001011
3222002000220001120210
421122020132000023
5131142114312300
64350231052203
7505224316320
oct113210360013
928060801523
1010102104075
114314413348
121b5b211063
13c4cbb989b
146bb940b47
153e1d2b050
hex25a21e00b

10102104075 has 72 divisors (see below), whose sum is σ = 19724761344. Its totient is φ = 4468910400.

The previous prime is 10102104059. The next prime is 10102104107. The reversal of 10102104075 is 57040120101.

It is a happy number.

It is not a de Polignac number, because 10102104075 - 24 = 10102104059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 494514 + ... + 514536.

Almost surely, 210102104075 is an apocalyptic number.

10102104075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10102104075 is a deficient number, since it is larger than the sum of its proper divisors (9622657269).

10102104075 is a wasteful number, since it uses less digits than its factorization.

10102104075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 10102104075 its reverse (57040120101), we get a palindrome (67142224176).

The spelling of 10102104075 in words is "ten billion, one hundred two million, one hundred four thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 961 1085 2325 2883 3255 4805 5425 6727 14415 16275 20023 20181 24025 33635 60069 72075 100115 100905 140161 168175 300345 420483 500575 504525 620713 700805 1501725 1862139 2102415 3103565 3504025 4344991 9310695 10512075 13034973 15517825 19242103 21724955 46553475 57726309 65174865 96210515 108624775 134694721 288631545 325874325 404084163 481052575 673473605 1443157725 2020420815 3367368025 10102104075