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102643816 = 23112107991
BaseRepresentation
bin1100001111000…
…11100001101000
321011010211211211
412013203201220
5202234100231
614104002504
72354313052
oct607434150
9234124754
10102643816
1152a37900
122a460434
131835acb2
14d8bc8d2
159027eb1
hex61e3868

102643816 has 48 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 46173600.

The previous prime is 102643729. The next prime is 102643819. The reversal of 102643816 is 618346201.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102643819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103081 + ... + 104071.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2102643816 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 102643816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

102643816 is an abundant number, since it is smaller than the sum of its proper divisors (111092504).

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

102643816 is a wasteful number, since it uses less digits than its factorization.

102643816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 102643816 is about 10131.3284420159. The cubic root of 102643816 is about 468.2138575046.

The spelling of 102643816 in words is "one hundred two million, six hundred forty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 428 484 856 968 991 1177 1982 2354 3964 4708 7928 9416 10901 12947 21802 25894 43604 51788 87208 103576 106037 119911 212074 239822 424148 479644 848296 959288 1166407 2332814 4665628 9331256 12830477 25660954 51321908 102643816