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102261096 = 23337471439
BaseRepresentation
bin1100001100001…
…10000101101000
321010102101212000
412012012011220
5202134323341
614051451000
72351130210
oct606060550
9233371760
10102261096
11527a6303
122a2b6a60
1318255a32
14d81d240
158e9e8b6
hex6186168

102261096 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 28575936.

The previous prime is 102261083. The next prime is 102261121. The reversal of 102261096 is 690162201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70345 + ... + 71783.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2102261096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102261096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

102261096 is an abundant number, since it is smaller than the sum of its proper divisors (229514904).

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

102261096 is a wasteful number, since it uses less digits than its factorization.

102261096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102261096 is about 10112.4228550828. The cubic root of 102261096 is about 467.6312018915.

The spelling of 102261096 in words is "one hundred two million, two hundred sixty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1439 1512 1692 1974 2538 2632 2878 2961 3384 3948 4317 5076 5756 5922 7896 8634 8883 10073 10152 11512 11844 12951 17268 17766 20146 23688 25902 30219 34536 35532 38853 40292 51804 60438 67633 71064 77706 80584 90657 103608 120876 135266 155412 181314 202899 241752 270532 271971 310824 362628 405798 473431 541064 543942 608697 725256 811596 946862 1087884 1217394 1420293 1623192 1826091 1893724 2175768 2434788 2840586 3652182 3787448 4260879 4869576 5681172 7304364 8521758 11362344 12782637 14608728 17043516 25565274 34087032 51130548 102261096