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103068144 = 24321771593
BaseRepresentation
bin1100010010010…
…11000111110000
321011221101220200
412021023013300
5202341140034
614121035200
72361031134
oct611130760
9234841820
10103068144
11531a7693
122a625b00
131847918a
14d98d3c4
1590ada99
hex624b1f0

103068144 has 120 divisors (see below), whose sum is σ = 310239072. Its totient is φ = 31825920.

The previous prime is 103068143. The next prime is 103068151. The reversal of 103068144 is 441860301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103068143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173512 + ... + 174104.

Almost surely, 2103068144 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 103068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155119536).

103068144 is an abundant number, since it is smaller than the sum of its proper divisors (207170928).

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

103068144 is a wasteful number, since it uses less digits than its factorization.

103068144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103068144 is about 10152.2482239157. The cubic root of 103068144 is about 468.8581668246.

The spelling of 103068144 in words is "one hundred three million, sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 593 612 639 816 852 1136 1186 1207 1224 1278 1704 1779 2372 2414 2448 2556 3408 3558 3621 4744 4828 5112 5337 7116 7242 9488 9656 10081 10224 10674 10863 14232 14484 19312 20162 21348 21726 28464 28968 30243 40324 42103 42696 43452 57936 60486 80648 84206 85392 86904 90729 120972 126309 161296 168412 173808 181458 241944 252618 336824 362916 378927 483888 505236 673648 715751 725832 757854 1010472 1431502 1451664 1515708 2020944 2147253 2863004 3031416 4294506 5726008 6062832 6441759 8589012 11452016 12883518 17178024 25767036 34356048 51534072 103068144