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102987666 = 23317432609
BaseRepresentation
bin1100010001101…
…11011110010010
321011210022112000
412020313132102
5202331101131
614115214430
72360244405
oct610673622
9234708460
10102987666
1153152181
122a5a7416
131844b662
14d96bd3c
159094ce6
hex6237792

102987666 has 64 divisors (see below), whose sum is σ = 248054400. Its totient is φ = 31546368.

The previous prime is 102987653. The next prime is 102987667. The reversal of 102987666 is 666789201.

It is not an unprimeable number, because it can be changed into a prime (102987667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38170 + ... + 40778.

It is an arithmetic number, because the mean of its divisors is an integer number (3875850).

Almost surely, 2102987666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102987666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124027200).

102987666 is an abundant number, since it is smaller than the sum of its proper divisors (145066734).

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

102987666 is a wasteful number, since it uses less digits than its factorization.

102987666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 102987666 is about 10148.2838943341. The cubic root of 102987666 is about 468.7361032680.

The spelling of 102987666 in words is "one hundred two million, nine hundred eighty-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 2609 4386 5218 6579 7827 13158 15654 19737 23481 39474 44353 46962 70443 88706 112187 133059 140886 224374 266118 336561 399177 673122 798354 1009683 1197531 1907179 2019366 2395062 3029049 3814358 5721537 6058098 11443074 17164611 34329222 51493833 102987666